Two objects A & B are put into thermal contact and come to equilibrium. - A) \( m_A = 100 \, \text{g}; \, c_A = 900 \, \text{J/(kg K)} \)- B) \( m_B = 200 \, \text{g}; \, c_B = 450 \, \text{J/(kg K)} \)Their temperatures are initially \( T_A \) and \( T_B \), and object A is initially hotter.Which statement about the final equilibrium temperature \( T_{EQ} \) is correct?\[ T_{ave} = \frac{T_A + T_B}{2} \] is the average of the initial temperatures.Options:- \( T_{EQ} < T_B \)- \( T_{EQ} = T_{ave} \)- \( T_{EQ} = T_A \)- \( T_{EQ} = T_B \)- \( T_{EQ} > T_A \)- \( T_{ave} > T_{EQ} > T_B \)- \( T_{ave} < T_{EQ} < T_A \) (Correct option selected)

Answered: Image /qna-images/answer/c37a1967-8dc3-4b42-a0f9-22a3f006fcb9.jpg

Two objects A & B are put into thermal contact ar equilibrium. • A) mA = 100 g; CA = 900 J/(kg K) B) mB= 200 g; CB = 450 J/(kg K) • Their temperatures are initial TA and TB, and obj hotter. Which statement about the final equilibrium temp correct? Tave TA+TB 2 is the average of the initial tempe

Two objects A & B are put into thermal contact ar equilibrium. • A) mA = 100 g; CA = 900 J/(kg K) B) mB= 200 g; CB = 450 J/(kg K) • Their temperatures are initial TA and TB, and obj hotter. Which statement about the final equilibrium temp correct? Tave TA+TB 2 is the average of the initial tempe

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter17: Energy In Thermal Processes: The First Law Of Thermodynamics

Section: Chapter Questions

Problem 9OQ

See similar textbooks

Related questions

Q: Rubbing your hands together warms them by converting work into thermal energy. If a woman rubs her…

A: To calculate the temperature increase, we have to know the specific heat of the human skin and its…

Q: A 100 kg steel support rod in a building has a length of 2.0 m at a temperature of 200C. The rod…

Q: 3A) One (1) mole of an ideal gas receives an input of 630J of energy in the form of heat. The gas…

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: 36) During an isothermal process, 5.0 J of heat is removed from an ideal gas. What is the change in…

A: The change in the internal energy of n mole of an ideal gas is ΔU=nCvΔT .....(1)where Cv is…

Q: k) A 250.-g sample of water at 369.0 K was added into 1.00 kg of water at 25.5°C in a coffee-cup…

A: *As per our guidelines we are instructed to answer only one question per session, Kindly post the…

Q: In a laboratory, bunsen burner is used to increase the temperature of lime from 10 °C to 50 °C with…

A: given,T1=10 °CT2=50 °Cthermal energy Q=8000 Jmass, m=20 kg

Q: Water is boiled to add moisture to the air in a room to help a COVID patient breathe better. Find…

A: We are given 0.038 kg of water at 200 C. And we have to convert water from 200 C to water at 1000 C.…

Q: Search the specific heat capacity values (along with units) for Aluminum, Copper, and Iron. Write…

A: The specific heat capacity of a material is the amount of heat required to raise the temperature of…

Q: The inner and outer surfaces of a 4-m x 7-m brick wall of thickness 30 cm and thermal conductivity…

A: The rate of heat transfer is the amount of heat that is passing through the given area in a given…

Q: 1. During the isobaric expansion from A to B represented below, -110 J of heat is removed from the…

Q: Seals may cool themselves by using thermal windows, patches on their bodies with much higher than…

A: Formula of rate of energy loss by radiation is as follows: Qnet∆t=eσAT4-Tc4…

Q: •30 A 0.400 kg sample is placed in a cooling apparatus that re- moves energy as heat at a con- stant…

Concept explainers

First law of Thermodynamics

The word thermodynamics consists of two words: thermo- and dynamics. Dynamics means the study of motion. The field of thermodynamics is all about the study of the movement of heat. In a more meaningful way, it is stated as the study of the transfer of energy. Energy transfer is something that we encounter in day-to-day life. Automobiles, chemical reactions, refrigerators, and power generators work on the basis of thermodynamic principles.

Question

Two objects A & B are put into thermal contact and come to equilibrium.

- A) \( m_A = 100 \, \text{g}; \, c_A = 900 \, \text{J/(kg K)} \)
- B) \( m_B = 200 \, \text{g}; \, c_B = 450 \, \text{J/(kg K)} \)

Their temperatures are initially \( T_A \) and \( T_B \), and object A is initially hotter.

Which statement about the final equilibrium temperature \( T_{EQ} \) is correct?

\[ T_{ave} = \frac{T_A + T_B}{2} \] is the average of the initial temperatures.

Options:

- \( T_{EQ} < T_B \)
- \( T_{EQ} = T_{ave} \)
- \( T_{EQ} = T_A \)
- \( T_{EQ} = T_B \)
- \( T_{EQ} > T_A \)
- \( T_{ave} > T_{EQ} > T_B \)
- \( T_{ave} < T_{EQ} < T_A \) (Correct option selected)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

An ideal gas initially at 300 K undergoes an isobaric expansion at 2.50 kPa. If the volume increases from 1.00 m3 to 3.00 m3 and 12.5 kJ is transferred to the gas by heat, what are (a) the change in its internal energy and (b) its final temperature?
One of a dilute diatomic gas occupying a volume of 10.00 L expands against a constant pressure of 2.000 atm when it is slowly heated. If the temperature of the gas rises by 10.00 K and 400.0 J of heat are added in the process, what is its final volume?
A 1.00-mol sample of hydrogen gas is heated at constant pressure from 300 K to 420 K. Calculate (a) the energy transferred to the gas by heat, (b) the increase in its internal energy, and (c) the work done on the gas.
If a gas is compressed isothermally, which of the following statements is true? (a) Energy is transferred into the gas by heat. (b) No work is done on the gas. (c) The temperature of the gas increases. (d) The internal energy of the gas remains constant. (e) None of those statements is true.
A certain ideal gas has a molar specific heat of Cv = 72R. A 2.00-mol sample of the gas always starts at pressure 1.00 105 Pa and temperature 300 K. For each of the following processes, determine (a) the final pressure, (b) the final volume, (c) the final temperature, (d) the change in internal energy of the gas, (e) the energy added to the gas by heat, and (f) the work done on the gas. (i) The gas is heated at constant pressure to 400 K. (ii) The gas is heated at constant volume to 400 K. (iii) The gas is compressed at constant temperature to 1.20 105 Pa. (iv) The gas is compressed adiabatically to 1.20 105 Pa.
For a temperature increase of 10 at constant volume, what is the heat absorbed by (a) 3.0 mol of a dilute monatomic gas; (b) 0.50 mol of a dilute diatomic gas; and (c) 15 mol of a dilute polyatomic gas?
Why is the following situation impossible? An ideal gas undergoes a process with the following parameters: Q = 10.0 J, W = 12.0 J, and T = 2.00C.
An aluminum rod 0.500 m in length and with a cross-sectional area of 2.50 cm2 is inserted into a thermally insulated vessel containing liquid helium at 4.20 K. The rod is initially at 300 K. (a) If one-half of the rod is inserted into the helium, how many liters of helium boil off by the time the inserted half cools to 4.20 K? Assume the upper half does not yet cool. (b) If the circular surface of the upper end of the rod is maintained at 300 K, what is the approximate boil-off rate of liquid helium in liters per second after the lower half has reached 4.20 K? (Aluminum has thermal conductivity of 3 100 W/m K at 4.20 K; ignore its temperature variation. The density of liquid helium is 125 kg/m3.)
Two containers hold an ideal gas at the same temperature and pressure. Both containers hold the same type of gas, but container B has twice the volume of container A. (i) What is the average translational kinetic energy per molecule in container B? (a) twice that of container A (b) the same as that of container A (c) half that of container A (d) impossible to determine (ii) From the same choices, describe the internal energy of the gas in container B.
An aluminum rod 0.500 m in length and with a cross sectional area of 2.50 cm2 is inserted into a thermally insulated vessel containing liquid helium at 4.20 K. The rod is initially at 3(H) K. (a) If one-halt of the rod is inserted into the helium, how many liters of helium boil off by the time the inserted half cools to 4.20 K? Assume the upper half does not yet cool, (b) If the circular surface of the upper end of the rod is maintained at 300 K. what is the approximate boil-off rate of liquid helium in liters per second after the lower half has reached 4.20 K? (Aluminum has thermal conductivity of 3 100 YV/m K at 4.20 K; ignore its temperature variation. The density of liquid helium is 125 kg/m3.)
From Table 21.1, the specific heat of milk is 3.93 103 J/ (kg K). and the specific heat of water is 4.19 103 J/(kg K). Suppose you wish to make a large mug (0.500 L) of hot chocolate. Each liquid is initially at 5.00C. and you need to raise their temperature to 80.0C. The density of milk is about 1.03 103 kg/m3, and the density of water is 1.00 103 kg/m3. a. How much heat must be transferred in each case? b. If you use a small electric hot plate that puts out 455 W, how long would it take to heat each liquid?
(a) What is the rate of heat conduction through the 3.00-cm-thick fur of a large animal having a I .40-m surface area? Assume that the animal's skin temperature is 32.0 , that the air temperature is 5.00 , and that has the same thermal conductivity as air. (b) What food intake will the animal need in one day to replace this heat transfer?