An unknown material, m1 = 0.41 kg, at a temperature of T1 = 86 degrees C is added to a Dewer (an insulated container) which contains m2 = 1.7 kg of water at T2 = 22 degrees C. Water has a specific heat of cw = 4186 J/(kg⋅K). After the system comes to equilibrium the final temperature is T = 30.3 degrees C.

Answers

Answer 1

Complete Question

An unknown material, m1 = 0.41 kg, at a temperature of T1 = 86 degrees C is added to a Dewer (an insulated container) which contains m2 = 1.7 kg of water at T2 = 22 degrees C. Water has a specific heat of cw = 4186 J/(kg⋅K). After the system comes to equilibrium the final temperature is T = 30.3 degrees C.

Part (a) Input an expression for the specific heat of the unknown material.

Part (b) What is the specific heat in J/(kg⋅K)?

Answer:

a

    [tex]c = \frac{m_2 * c_w (T - T_2)}{m_1 * (T_1 - T) }[/tex]

b

  [tex]c = 2587.14 \ J /(kg \cdot K)[/tex]

Explanation:

From the question we are told that

    The mass of the material is  [tex]m_1 = 0.41 \ kg[/tex]

     The temperature is  [tex]T_1 = 86 ^oC[/tex]

      The mass of water is  [tex]m_2 = 1.7 \ kg[/tex]

      The temperature of water is  [tex]T_2 = 22^oC[/tex]

      The specific heat of water is  [tex]c_w = 4186 \ J/(kg\cdot K)[/tex]

       The temperature of the system is  [tex]T= 30 .3^o C[/tex]

Generally heat lost by the unknown material =  heat gained by water

Generally the heat gained by water is mathematically represented as  

        [tex]Q_2= m_2 * c_w (T - T_2)[/tex]

=>      [tex]Q_2= 1.7 * 4186 (30.3 - 22)[/tex]

=>      [tex]Q_2= 59064.46 \ J[/tex]

Generally the heat lost by the unknown material  is mathematically represented as        

        [tex]Q_1= m_1 * c* (T_1 - T)[/tex]

        [tex]m_2 * c_w (T - T_2) = m_1 * c* (T_1 - T)[/tex]

=>       [tex]c = \frac{m_2 * c_w (T - T_2)}{m_1 * (T_1 - T) }[/tex]

Here  c is the specific heat capacity of the unknown material

=>      [tex]Q_1= 0.41 * c (86 - 30.3)[/tex]

=>      [tex]Q_1= 22.83 c[/tex]        

So

           [tex]59064.46 = 22.83 c[/tex]

=>         [tex]c = \frac{59064.46 }{ 22.83}[/tex]

=>         [tex]c = 2587.14 \ J /(kg \cdot K)[/tex]


Related Questions

Patriotism and education are traditional American values. Please select the best answer from the choices provided T F

Answers

Answer:

True

Explanation:

It is a true statement that "Patriotism and education are traditional American values."

The United States of America

The United States of America are bound together by certain core values that hold the entire country  together. These values are reverberated any time the ideals of the country are discussed.

Two of the key values of the American society are;

PatriotismEducation

Hence, it is a true statement that "Patriotism and education are traditional American values."

Learn more about patriotism: https://brainly.com/question/779632

what is meant by lenght

Answers

Answer:

the size of something from one end to the other; how long something is

Please help me with this.

Question 7 of 10 What causes magnetic domains? O A. Magnetic poles of magnets attracting each other O B. Electricity moving through iron O C. Magnetic fields of atoms aligning D. Iron being placed near a magnet.​

Answers

Answer:

C. Magnetic fields of atoms aligning

Answer:

c

Explanation:

a pex

A 120 -kg crate accelerates toward the positive x-direction . If the magnitude of the force due to friction is 74.4 N , what force must pull on the crate to give it a 2.5 m/s ^ s acceleration ?

Answers

Answer:

The applied force to accelerate the crate is 374.4 N

Explanation:

Given;

mass of the crate, m = 120 kg

magnitude of force due to friction, Fk = 74.4N

acceleration of the crate, a = 2.5 m/s²

The net horizontal force on the crate is calculated as;

∑Fx = F - Fk

ma = F - Fk

F = ma + Fk

where;

F is the applied force to accelerate the crate by 2.5 m/s²

F = (120 x 2.5) + (74.4 N)

F = 300 N + 74.4 N

F = 374.4 N

Therefore, the applied force to accelerate the crate is 374.4 N

Neeeee rnnnn ASAP offering 55 points CER: Brielle pushes a shopping cart through the store with an acceleration of 2
m/s2. The mass of the shopping cart with the groceries in it is 22 kg. Guiding
Question: How can Brielle increase the acceleration of the shopping cart?

Answers

Answer:

Decease the mass

Increase the force applied

Explanation:

To increase the acceleration of the shopping cart, Brielle should reduce the load inside her cart.

According to Newton's second law of motion;

  Force  = mass x acceleration

Now, mass is indirectly proportional to the acceleration. The more the mass, the lower the acceleration a body will generate.

Lighter bodies moves with a faster acceleration.

In this case the force applied is constant.

If the force applied is also, increased the acceleration of the body will increase also.

a stone is tied to one end of string. holding to the other end , the string is whirled in the horizontal plane with progressively increasng speed it breaks at some speed bexause

Answers

Answer:

Breaks because it doesn't have force in the radial direction and thus due to inertia the stones will fly off tangentially.

Explanation:

Until the stone is tied to a string, it will possess centripetal force and centrifugal force along the radial direction of motion due to the tension present in the string. Now, when the rope breaks, it breaks because it doesn't have force in the radial direction and thus due to inertia the stones will fly off tangentially.

A 4000-kg car bumps into a stationary 6000kg truck. The Velocity of the car before the collision was +4m/s and -1m/s after the collision. What is the velocity of the truck?

Answers

Answer:

The velocity of the truck is 3.33 m/s

Explanation:

Law Of Conservation Of Linear Momentum

The total momentum of a system of bodies is conserved unless an external force is applied to it. The formula for the momentum of a body with mass m and velocity v is  

P=mv.  

If we have a system of bodies, then the total momentum is the sum of the individual momentums:

[tex]P=m_1v_1+m_2v_2+...+m_nv_n[/tex]

If some collision occurs, the velocities change to v' and the final momentum is:

[tex]P'=m_1v'_1+m_2v'_2+...+m_nv'_n[/tex]

In a system of two masses:

[tex]m_1v_1+m_2v_2=m_1v'_1+m_2v'_2[/tex]

There are two objects: The m1=4000 Kg car and the m2=6000 Kg truck. The car was moving initially at v1=4 m/s and the truck was at rest v2=0. After the collision, the car moves at v1'=-1 m/s. We need to find the velocity of the truck v2'. Solving for v2':

[tex]\displaystyle v'_2=\frac{m_1v_1+m_2v_2-m_1v'_1}{m_2}[/tex]

Substituting:

[tex]\displaystyle v'_2=\frac{4000*4+6000*0-4000(-1)}{6000}[/tex]

[tex]\displaystyle v'_2=\frac{16000+4000}{6000}[/tex]

[tex]\displaystyle v'_2=3.33[/tex]

The velocity of the truck is 3.33 m/s

Electricity costs 10p per unit. How much will it cost Sam to use a 85W laptop and a 60W lamp for an hour?

Answers

The standard unit is KW/hr, = 1,000W/hr.
(85 + 60) = 145W.
You need to find its fraction of 1,000W., so (145/1000) = 0.145 KWH.
(0.145 x 10p) = 1.45p. per hr.

It will cost Sam "1.45 p. per hr" to use an 85W laptop and a 60W lamp. To understand the calculation, check below.

Power and Electricity

According to the question,

Electricity cost = 10 p per unit

Laptop power = 85 W

Lamp power = 60 W

We know the standard unit, KW/hr = 1000 W/hr

then,

= 85 + 60

= 145 W

By fractioning,

= [tex]\frac{145}{1000}[/tex]

= 0.145 KWH

hence,

The cost will be:

= 0.145 × 10 p

= 1.45 p. per hr

Thus the above approach is correct.

Find out more information about electricity here:

https://brainly.com/question/11517288

If a small motor does 520 J of work to move a toy car 260 m in 3.0 seconds, how much power is being applied by the motor?

Answers

Answer:

P = 173.33 [W]

Explanation:

Power is defined as the amount of work done over a given time.

W = work = 520 [J]

t = time = 3 [s]

P = power [w]

Therefore by working relationship over time we can calculate the power.

[tex]P =W/t\\P = 520/3\\P=173.33[W][/tex]

PLZ HELP I DON'T UNDERSTAND!! a boy is playing catch with his friend. He throws the ball straight up. When it leaves his hand, the ball (2kg) is traveling 10m/s. Whats the ball's kinetic energy just as it leaves the boy's hand? What is the potential energy of the ball when it reaches the highest point?

Answers

Explanation:

The mass of a ball, m = 2 kg

It is traveling with a speed of 10 m/s

The ball's kinetic energy just as it leaves the boy's hand is calculated as follows :

[tex]K=\dfrac{1}{2}mv^2\\\\K=\dfrac{1}{2}\times 2\times (10)^2\\\\=100\ J[/tex]

The ball's kinetic energy just as it leaves the boy's hand is 100 J. The potential energy of the ball when it reaches the highest point is same as the kinetic energy as it leaves the boy's hand.

Hence, the required kinetic and potential energy is 100 J.

is anti-nodes and amplitude same

Answers

Explanation:

Antinodes are not the same thing as the amplitude , but they are very closely related. The amplitude is the distance from the rest position of the wave to the antinode . The antinode is just a point along the wave that has the greatest maximum velocity in the y-direction.

The amplitude of a standing wave doesn't remain the same throughout the wave. It keeps on changing as it is a function of x.

Where the amplitude is minimum is called?

The locations at which the absolute value of the amplitude is minimum are called nodes, and the locations where the absolute value of the amplitude is maximum are called antinodes.

Explanation:

Antinodes are not the same thing as the amplitude , but they are very closely related. The amplitude is the distance from the rest position of the wave to the antinode . The antinode is just a point along the wave that has the greatest maximum velocity in the y-direction .

intro urself please

help!!! if it’s blurry click on it and zoom in but i need to know the net forces!!!

Answers

Answer:

the net force is 330N

Explanation:

Answer:

270N to the left

Explanation:

Since the 3 individual forces are all parallel to each other and effect the x-axis, you can add and subtract them to find the net force.

The three forces are:

200 N to the LEFT

300 N to the LEFT

230 N to the RIGHT

First, add up any multiples of forces with the same direction. Basically, add up all the forces going LEFT and all going RIGHT.

200 N + 300 N = 500 N LEFT

230 N RIGHT

In order to find resultant magnitude you must now subtract the larger force from the smaller force. The resultant direction will be in the direction of the larger force.

Magnitude of Net Force: 500 N - 230 N = 270 N

Net Force Direction: Direction of larger force: Direction of 500N force: LEFT

Imagine that it is summer solstice in the Northern Hemisphere. What is the date, and where is the Sun? What is happening in the Southern Hemisphere? Please help

Answers

21 june is the date......hopi it will help

Answer:

June 22 North Pole tited to the sun, and its winter in the southern hemesphere

Explanation:

What is the ideal banking angle (in degrees) for a gentle turn of 2.00 km radius on a highway with a 125 km/h speed limit (about 78 mi/h), assuming everyone travels at the limit

Answers

An "ideal" banking angle assumes no friction is required to keep a car on the road as it turns. Let θ denote the banking angle, and consult the attached free-body diagram for a car making the turn. There are only 2 relevant forces acting on the car,

• the normal force with magnitude n

• the car's weight with magnitude w

and the net force points toward the center of the circle made by the turn, with centripetal acceleration

a = (125 km/h)² / (2.00 km) = 7812.5 km/h² ≈ 0.603 m/s²

Split up the forces into components acting perpendicular (⟂) and parallel (//) to the banked curve, so that by Newton's second law,

F (⟂) = N + W (⟂) = m a (⟂)

and

F (//) = W (//) = m a (//)

Let the direction of N be the positive perpendicular axis, and down the incline and toward the center of the circle the positive parallel axis. The net force vector and acceleration both make an angle θ with the banked curve, and W makes the same angle with the negative perpendicular axis, so that the equations above reduce to

N - m g cos(θ) = m a sin(θ)

and

m g sin(θ) = m a cos(θ)

The second equation is all we need at this point to find the ideal θ. The mass m cancels out, and we can solve for θ to get

tan(θ) = a/g ≈ (0.603 m/s²) / (9.80 m/s²) ≈ 0.0615

→   θ ≈ 3.52°

Please answer ASAP!!

Which of the following is the best reason to read the laboratory procedure before beginning
any type of experiment?
O So you can perform the experiment quickly.
O So you can ask questions about steps you do not understand.
O So you can answer all the questions at the end of the lab.
O So you can decide when is the best time of day to complete the lab.

Answers

Answer:

O So you can ask questions about steps you do not understand.

Explanation:

One of the reasons why it is encouraged that the laboratory procedure must be read at the beginning of any type of experiment is familiarize the student with the experimental procedure. Also, questions that can help make the smooth running of the experiment to proceed can be cleared.

It is to this regard that understanding laboratory procedures is very vital. Students must grasp the details of each steps of the experiment before proceeding with their investigation. Other critical information needed to set up the experiment can also be brought into the lime light.

A race car, moving initially with a speed of 15.0 m/s, is capable of accelerating at a rate of 6.0 m/s?. What will be the speed
of this car after accelerating for a time period of 8.00 seconds?
m/s

Answers

Answer:

[tex]v_{f}=63\ \frac{m}{s}[/tex]

Explanation:

[tex]v_{f}=v_{i}+a\cdot t[/tex]

[tex]v_{f}=15\ +\ 6\cdot8[/tex]

[tex]v_{f}=63\ \frac{m}{s}[/tex]

Therefore, the speed of the car is 63m/s after 8 seconds while accelerating at it maximum capability.

Two balls, ball A and ball B, are dropped from the same height onto the same surface. If ball A rebounds to a higher height than ball B then:(3) A. ball A is more elastic than ball B. B. ball B is more elastic than ball A. C. not enough information is given to determine which ball is more elastic.

Answers

Answer:

its b

Explanation:

Two bodies of mass 10 kg each are separated by 1 metre, the force of attraction between them is
a) 6.67 x 10-N b) 6.67 x 10'N c) 6.67 x 10 N d) 6.67 x 10'Nial
99​

Answers

Answer:

6.67x10^-11 N-m^2/kg^2

Explanation:

Difference between rest and motion?

Answers

Answer:

Rest and motion are relative terms. In simple terms, an object that changes its position is said to be in motion while the opposite action causes an object to be at rest.

Explanation:

who was the first president of the united states​

Answers

Answer:

George Washington

Explanation:

Answer:

well for me

Explanation:

It was George Washington

What is the mass of 2.5 moles of carbon?
A-1.5 x 1024 g C
B-30 g C
C-2.5 g C
D-0.21 g C

Answers

Answer:

I think no B

if wrong correct me plsssssss

Mark me brainliest

have a nice day

I will always help you understanding your assingments

#Captainpower:)

How does an increase in thermal energy affect the temperature of each state of matter?

Answers

Answer:

Explanation:

When thermal energy is added to a substance, its temperature increases, which can change its state from solid to liquid (melting), liquid to gas (vaporization), or solid to gas (sublimation). ... When the pressure exerted on a substance increases, it can cause the substance to condense.

Answer:

Gases have the highest kinetic energy of any state of matter and thus occur at the highest temperatures. Increasing the temperature of a gas in an open system will not further change the state of matter because the gas molecules will only become infinitely further apart.

if object A has a mass of 100kg and object B has a mass of 50 kg then which will have more inertia

Answers

Answer:

object A

Explanation:

this is because Enertia is the resistance of an object to change its initial state of rest or motion DUE TO ITS MASS

SO a heavier object will render more inertia

if you have learnt sound, can you also help me pleaseeee

The two equal strong kids are having a tug a war. What do you expect to happen to the ball in this situation

Answers

Answer:as per as Newtons second law, The forces exerted on the rope create tension.

As such,The tension is equal to the applied force.The tension is trasmitted to the opposite side and of the rope delivering the applied force.

Hope this helps.. :)

A body of mass 60kg is displaced through 90m in 4 second when force is applied to it.calculate acceleration and the force applied​

Answers

Answer:

force=337.5N

accelertion=5.63ms^-2

Explanation:

please find the answers in the pictures above maam or sir.

A tourist stands at the top of the Grand Canyon, holding a rock, overlooking the valley
below. Find the final velocity, and displacement of the rock after 4.0 seconds give the three
initial conditions listed below.

Answers

Answer:

a. Vf = 39.24 [m/s]

b. Vf = 31.24 [m/s]

c. Vf = 47.24 [m/s]

Explanation:

To solve this problem we can use the following equation of kinematics. We have to keep in mind that the gravitational acceleration acts downwards, therefore when the rock falls towards the abyss it has the same direction of the acceleration and that is why the gravitational acceleration has a positive sign in the equation.

[tex]v_{f}=v_{o}+g*t[/tex]

where:

Vf = final velocity [m/s]

Vo = initial velocity = 0 (when the rock is dropped)

g = gravitational acceleration = 9.81 [m/s²]

t = time = 4 [s]

a.

[tex]v_{f}=0+9.81*4\\v_{f}= 39.24 [m/s][/tex]

b.

In this particular situation, the acceleration will be taken as negative because the gravity is pointing in the opposite direction of the movement of the rock.

[tex]v_{f}=8-(9.81*4)\\v_{f}=-31.24[m/s][/tex]

The negative sign in the answer tells us that the rock no longer moves up instead it does downwards when 4 seconds have passed.

c.

[tex]v_{f}=8+(9.81*4)\\v_{f}=47.24[m/s][/tex]

The number of student of schoolwas 450 last year and it is 396 this year.By how many percent did the number decrease

Answers

Answer:

12%

Explanation:

number of students decreased=54

percentage of students decreased= 54/450 x 100

=12%

Enter the appropriate word(s) to complete the statement. (Choose from the words between parentheses)
In a inelastic , elastic)-
collision, both momentum and kinetic energy are conserved
-

Answers

Answer:

The correct option is;

Elastic

Explanation:

In an elastic collision, the initial kinetic energy of the system is equal to the final kinetic energy of the system, such that there is no loss in the net kinetic energy available at a specific time or stage in the system

Therefore, we have;

1/2·m₁·v₁₁² + 1/2·m₂·v₂₁² = 1/2·m₂·v₁₂² + 1/2·m₂·v₂₂²

From which we get;

m₁·v₁₁ + m₂·v₂₁ = m₂·v₁₂ + m₂·v₂₂

Which is indicates that the initial and momentum of the system is also conserved

Therefore, in an elastic collision, both momentum and kinetic energy are conserved.

Jupiter has the strongest gravity of any planet in our solar system. Which quantity will be a maximum there?
A. Density
B. Weight
C. Volume
D. Mass

Answers

Answer:

I think the answer is D

Explanation:

I dont have an explanation

Is folding aluminum foil a chemical or physical change?​

Answers

Answer:

Aluminum foil is a physical change. A further explanation is given below.

Explanation:

The processing of aluminum foil starts with either a succession of cool rolling procedures, wherever another density including its aluminum alloy becomes diminished by half amongst every method.  Aluminum foil modified thickness and weight, but it would be an aluminum sheet, so it would be a physical transition or change.
Other Questions
a philanthropist deposits 2,000$, in a trust fund that pays 6.0%interest , compunded continuously. The balance given to the college from which the has earned interest for 20 years. How much will the college receive? round to the nearest tenth Do subtraction with monetory values.$49.68 -$7.89=? Angie divides the polynomial function f(x)=x3+3x27x21 by (x + 3). What can she conclude from the fact that the remainder is equal to 0? A space probe is fired as a projectile from the Earth's surface with an initial speed of 2.05 104 m/s. What will its speed be when it is very far from the Earth Write the equation in slope-intercept form. Do not use any spaces. Make sure your answer looks like y=mx+b. Y + 6 = 3(x - 4) * Ng Order of Operations George has $15. He would like to know if he has enough money to see a movie ($9.00) and buy a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each). George incorrectly used this numerical expression to decide if he had enough money. 15 - 9 + 2.65 + 1.35 + 2(1.74) Use the order of operations to simplify this expression. What is the area of the polygon?I will mark brainliest The area of a square can be represented by the expression x10. Which monomial represents a side of the square? x2 x5 x20 x100 please tell fast plzzzzzz tor. Factor each expression. 2x + 8 Which French general encouraged Washington to wait on the liberation of New York City ? Find the area of the square ABCD Choose the correct answer The graph of f^ prime is shown. Find and sketch the graph of f given that fis continuous and f(0) = 1 .(#72 in the pic) Does art need to be shocking to get our attention today? When Edward says (paragraph 7) "There is no other reason to be given why you have not gone to hell? Since you have sat in the house of god, provoking his pure eyes by your sinful wicked manner of attending his solemn worship,"he is telling his conegration which of the following Mr Gutierrez and his brother wants to play video games they want to purchase a game console that costs 300 4 games and 2 controllers write an expression to represent this situation Which real-world story is represented by the problem (-15.85) + 26.58? Check all that apply. (A) Chey returned a CD that cost $15.85 and bought a shirt for $26.58. The sum is the amount the store owes him. (B) Chey returned a jacket that cost $26.58 and bought a book for $15.85. The sum represents the amount the store owes him. (C) Chey bought a shirt that cost $26.58 and a CD that cost $15.85. The sum represents his change. (D) Chey has a gift card with a balance of $26.58 and bought a hat that cost $15.85. The sum is the balance on his gift card. WHY did America have a big outcome from world war 1? Can someone help? Im not the best at algebra