Explanation 1) Concept: By using the molar specific heat at constant volume and pressure and substituting these values in the formula for heat and change in internal energy, we can calculate the energy transferred to the gas as heat and change in internal energy of gas. Using the first law of thermodynamics , we can find the work done by the gas. 2) Formulae: i) Q = n C P Δ T ii) Δ E i n t = n C V Δ T iii) W = Q - Δ E i n t iv) Δ K t r a n s = Δ n K a v g v) Δ E i n t = Δ K t r a n s + Δ K r o t 3) Given: i) Number of moles n = 3 m o l ii) Temperature is T = 40 ℃ 4) Calculations: a) Energy transferred to the gas as heat: For a diatomic gas, C V = 5 2 R and as C P = C V + R , C P = 5 2 R + R C P = 7 2 R The molar specific heat C P is C P = Q n Δ T Q = n C P Δ T where Q is the energy transferred as heat to or from a sample of n mole of the gas, Δ T is the resulting change in temperature of the gas, and Δ E i n t is the change in the internal energy of the gas. Substituting all values in the above equation, we get Q = 3 × 7 2 R × Δ T Q = 3 × 7 2 × 8.31 × 40 Q = 3.49 × 10 3 J b) Change in internal energy of gas: The molar specific heat C V of a gas at constant volume is given as C V = Q n Δ T = Δ E i n t n Δ T Thus, Δ E i n t = n C V Δ T Also, C V = 5 2 R Substituting this in the equation for internal energy, we get Δ E i n t = n × 5 2 R × 40 Δ E i n t = 3 × 5 2 × 8

11th Edition

ISBN: 9781119813293

Author: Halliday

Publisher: WILEY

See similar textbooks

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 en…

Question

Chapter 19, Problem 43P

To determine

To find:

a) Energy transferred to the gas as heat.

b) Change in internal energy of the gas.

c) Work done by the gas.

d) Increase in the rotational kinetic energy of the gas.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 19, Problem 42P

Chapter 19, Problem 44P

Students have asked these similar questions

The determined Wile E. Coyote is out once more to try to capture the elusive Road Runner of Loony Tunes fame. The coyote is strapped to a rocket, which provide a constant horizontal acceleration of 15.0 m/s2. The coyote starts off at rest 79.2 m from the edge of a cliff at the instant the roadrunner zips by in the direction of the cliff. If the roadrunner moves with constant speed, find the minimum velocity the roadrunner must have to reach the cliff before the coyote. (proper sig fig in answer)

PROBLEM 4 What is the resultant of the force system acting on the connection shown? 25 F₁ = 80 lbs IK 65° F2 = 60 lbs

Three point-like charges in the attached image are placed at the corners of an equilateral triangle as shown in the figure. Each side of the triangle has a length of 38.0 cm, and the point (C) is located half way between q1 and q3 along the side. Find the magnitude of the electric field at point (C). Let q1 = −2.80 µC, q2 = −3.40 µC, and q3 = −4.50 µC. Thank you.

Chapter 19 Solutions

FUNDAMENTALS OF PHYSICS EXTEND 11E

Ch. 19 - For four situations for an ideal gas, the table...Ch. 19 - In the p-V diagram of Fig. 19-17, the gas does 5 J...Ch. 19 - For a temperature increase of T1, a certain amount...Ch. 19 - The dot in Fig, 19-18a represents the initial...Ch. 19 - A certain amount of energy is to be transferred as...Ch. 19 - The dot in Fig. 19-18b represents the initial...Ch. 19 - a Rank the four paths of Fig. 19-16 according to...Ch. 19 - The dot in Fig. 19-18c represents the initial...Ch. 19 - Prob. 9Q Ch. 19 - Does the temperature of an ideal gas increase,...

Ch. 19 - Prob. 1P Ch. 19 - Gold has a molar mass of 197 g/mol. a How many...Ch. 19 - SSM Oxygen gas having a volume of 1000 cm3 at...Ch. 19 - A quantity of ideal gas at: 10.0C and 100 kPa...Ch. 19 - The best laboratory vacuum has a pressure of about...Ch. 19 - Water bottle in a hot car. In the American...Ch. 19 - Suppose 1.80 mol of an ideal gas is taken from a...Ch. 19 - Compute a the number of moles and b the number of...Ch. 19 - An automobile tire has a volume of 1.64 102 m3...Ch. 19 - A container encloses 2 mol of an ideal gas that...Ch. 19 - SSM ILW WWW Air that initially occupies 0.140 m3...Ch. 19 - GO Submarine rescue. When the U.S. submarine...Ch. 19 - Prob. 13P Ch. 19 - In the temperature range 310 K to 330 K, the...Ch. 19 - Suppose 0.825 mol of an ideal gas undergoes an...Ch. 19 - An air bubble of volume 20 cm3 is at the bottom of...Ch. 19 - GO Container A in Fig. 19-22 holds an ideal gas at...Ch. 19 - The temperature and pressure in the Suns...Ch. 19 - a Compute the rms speed of a nitrogen molecule at...Ch. 19 - Calculate the rms speed of helium atoms at 1000 K....Ch. 19 - SSM The lowest possible temperature in outer space...Ch. 19 - Find the rms speed of argon atoms at 313 K. See...Ch. 19 - A beam of hydrogen molecules H2 is directed toward...Ch. 19 - At 273 K and 1.00 102 atm, the density of a gas...Ch. 19 - Prob. 25P Ch. 19 - Prob. 26P Ch. 19 - Water standing in the open at 32.0C evaporates...Ch. 19 - At what frequency would the wavelength of sound in...Ch. 19 - SSM The atmospheric density at an altitude of 2500...Ch. 19 - Prob. 30P Ch. 19 - In a certain particle accelerator, protons travel...Ch. 19 - Prob. 32P Ch. 19 - Prob. 33P Ch. 19 - Prob. 34P Ch. 19 - Prob. 35P Ch. 19 - The most probable speed of the molecules in a gas...Ch. 19 - Prob. 37P Ch. 19 - Figure 19-24 gives the probability distribution...Ch. 19 - At what temperature does the rms speed of a...Ch. 19 - Two containers are at the same temperature. The...Ch. 19 - Prob. 41P Ch. 19 - What is the internal energy of 1.0 mol of an ideal...Ch. 19 - Prob. 43P Ch. 19 - GO One mole of ail ideal diatomic gas goes from a...Ch. 19 - ILW The mass of a gas molecule can be computed...Ch. 19 - Under constant pressure, the temperature of 2.00...Ch. 19 - The temperature of 2.00 mol of an ideal monatomic...Ch. 19 - GO When 20.9 J was added as heat to a particular...Ch. 19 - SSM A container holds a mixture of three...Ch. 19 - We give 70 J as heat to a diatomic gas, which then...Ch. 19 - Prob. 51P Ch. 19 - GO Suppose 12.0 g of oxygen O2 gas is heated at...Ch. 19 - SSM WWW Suppose 4.00 mol of an ideal diatomic gas...Ch. 19 - We know that for an adiabatic process pV = a...Ch. 19 - A certain gas occupies a volume of 4.3 L at a...Ch. 19 - Suppose 1.00 L of a gas with = 1.30, initially at...Ch. 19 - The volume of an ideal gas is adiabatically...Ch. 19 - GO Opening champagne. In a bottle of champagne,...Ch. 19 - GO Figure 19-26 shows two paths that may be taken...Ch. 19 - Prob. 60P Ch. 19 - GO A gas is to be expanded from initial state i to...Ch. 19 - GO An ideal diatomic gas, with rotation but no...Ch. 19 - Figure 19-27 shows a cycle undergone by 1.00 mol...Ch. 19 - Calculate the work done by an external agent...Ch. 19 - An ideal gas undergoes an adiabatic compression...Ch. 19 - Prob. 66P Ch. 19 - An ideal monatomic gas initially has a temperature...Ch. 19 - Prob. 68P Ch. 19 - SSM The envelope and basket of a hot-air balloon...Ch. 19 - An ideal gas, at initial temperature T1 and...Ch. 19 - Prob. 71P Ch. 19 - At what temperature do atoms of helium gas have...Ch. 19 - Prob. 73P Ch. 19 - Prob. 74P Ch. 19 - The temperature of 3.00 mol of a gas with CV =...Ch. 19 - During a compression at a constant pressure of 250...Ch. 19 - SSM Figure 19-28 shows a hypothetical speed...Ch. 19 - Prob. 78P Ch. 19 - SSM An ideal gas undergoes isothermal compression...Ch. 19 - Oxygen O2 gas at 273 K and 1.0 atm is confined to...Ch. 19 - An ideal pas is taken through a complete cycle in...Ch. 19 - Prob. 82P Ch. 19 - SSM A sample of ideal gas expands from an initial...Ch. 19 - An ideal gas with 3.00 mol is initially in state 1...Ch. 19 - A steel lank contains 300 g of ammonia gas NH3 at...Ch. 19 - In an industrial process the volume of 25.0 mol of...Ch. 19 - Figure 19-29 shows a cycle consisting of five...Ch. 19 - An ideal gas initially at 300 K is compressed at a...Ch. 19 - A pipe of length L = 25.0 m that is open at one...Ch. 19 - In a motorcycle engine, a piston is forced down...Ch. 19 - For adiabatic processes in an ideal gas, show that...Ch. 19 - Air at 0.000C and 1.00 atm pressure has a density...Ch. 19 - Prob. 93P Ch. 19 - Prob. 94P Ch. 19 - Prob. 95P Ch. 19 - For air near 0C, by how much does the speed of...Ch. 19 - Prob. 97P

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.

a) Energy transferred to the gas as heat. b) Change in internal energy of the gas. c) Work done by the gas. d) Increase in the rotational kinetic energy of the gas.

Solution Summary: The author calculates the energy transferred to the gas as heat and change in internal energy using the first law of thermodynamics.

Concept explainers

To find: a) Energy transferred to the gas as heat. b) Change in internal energy of the gas. c) Work done by the gas. d) Increase in the rotational kinetic energy of the gas.

Want to see the full answer?

Chapter 19 Solutions

To find:

a) Energy transferred to the gas as heat.

b) Change in internal energy of the gas.

c) Work done by the gas.

d) Increase in the rotational kinetic energy of the gas.