A 1.00 mol sample of an ideal diatomic gas, originally at 1.00 atm and 20 oC, expands adiabatically to 1.75 times its initial volume. What are the final pressure and temperature for the gas? ( Assume no molecular vibration)

A 1.00 mol sample of an ideal diatomic gas, originally at 1.00 atm and 20 oC, expands adiabatically to 1.75 times its initial volume. What are the final pressure and temperature for the gas? ( Assume no molecular vibration)

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter3: The First Law Of Thermodynamics

Section: Chapter Questions

Problem 72P: An ideal diatomic gas at 80 K is slowly compressed adiabatically to one-third its original volume....

See similar textbooks

Related questions

Q: 1.00 moles of an ideal monatomic gas (such as He) initially at a temperature of 298 K and a pressure…

Q: In the figure, 2.99 mole of an ideal diatomic gas can go from a to c along either the direct…

A: a) We know that the internal energy change for the ideal gas is=nCV∆T We know, CV=5R2 for diatomic…

Q: an ideal monatomic gas cools from 550 k to 400 k at contant volume as 900 J of energy is removed…

Q: An ideal diatomic gas, with molecular rotation but without any molecular oscillation, loses a…

Q: Consider 2.00 moles of an ideal gas that are taken from state A (PA = 2.00 atm, vA = 10.0 L) to…

A: If we give some external force to any kind of object then either it will deform or it will displace…

Q: An ideal monatomic gas expands isothermally from 0.500 m3 to 1.25 m3 at a constant temperature of…

A: a) The work done on the gas in an isothermal process is given by,

Q: An ideal monatomic gas, consisting of 2.8 mol of volume 8.8x10-2 m , expands adiabatically. The…

A: initial volume, V = 8.8 x 10-2 m3 initial temperature, T = 20 degree C = 293 K final temperature, T'…

Q: 1.50 moles of a monatomic ideal gas goes isothermally from state 1 to state 2. P1 = 3.5×105 Pa, V1 =…

A: Given data: Number of moles = 1.50 mole Ideal gas, isothermal process P1 = 3.5 × 105 Pa V1 = 71…

Q: how to answer part b

A: Write the expression for first law of thermodynamics.

Q: An ideal diatomic gas contracts in an isobaric process from 1.15 m to 0.540 m at a constant pressure…

Q: A diatomic ideal gas reversibly follows the process shown in fig. starting from state A at a…

Q: In the figure, 2.47 mole of an ideal diatomic gas can go from a to c along either the direct…

Q: A diatomic ideal gas at pressure p and volume V is expanding to three times its initial volume under…

A: a) The ideal gas equation is given as, b) Heat flowing into the gas is,…

Q: Under constant pressure, the temperature of 2.00 mol of an ideal monatomic gas is raised 15.0 K.…

Q: A sample of a monatomic ideal gas occupies S.00 L at atmospheric pressure and 300 K (point A in the…

Q: When 20.9 J was added as heat to a particular ideal gas, the volume of the gas changed from 50.0 cm3…

Q: 50 moles of an ideal gas initially has a volume of 0.8 m³, a pressure of 160 kPa, and a temperature…

A: (a) V=AP+B∴P=1A(V-B)Universal gas law states…

Q: Calculate ΔS (for the system) when the state of 4.00 mol monatomic ideal gas molecules, for which…

Q: he constant volume heat capacity of an ideal monatomic gas is 3R/2, but the constant volume heat…

A: mono-atomic gas molecule gas has one atom. Each molecule has 3 degree of freedom due to translatory…

Q: An ideal diatomic gas, with molecular rotation but not oscillation, loses energy as heat Q. Is the…

A: Diatomic gas

Q: An ideal gas, initially at a pressure of 11.6 atm and a temperature of 297 K, is allowed to expand…

Q: Give the temperature T of 1 mole of ideal gas as a function of the pressure P, volume V, and the…

A: Temperature of 1 mole ideal gas is to be given in terms of P, V and R Internal energy(U) of diatomic…

Q: As a 1.00 mol sample of a monoatomic ideal gas expands adiabatically, the work done by the gas is 50…

A: As per sign convention work done by gas is taken positive and work done on the gas is taken…

Q: An ideal monatomic gas expands isothermally from 0.500 m³ to 1.25 m³ at a constant tempera- ture of…

Q: What is the internal energy of 4 mol of an ideal monatomic gas at 200 K?

A: Given: Mole (n) = 4 Temperature (T) = 200 K CV for mono atomic gas = 3/2 Gas constant (R) =8.314…

Q: 3.2. (a) Show that the work done by an ideal gas during the quasi-static, isothermal expansion from…

A: Here for an ideal gas during quasi static isothermal expansion the initial pressure be Pi and the…

Q: a sample consisting of 2.5 mol of perfect gas molecules with Cpm= 20.8 J/Kmol is initially at 240kPa…

Q: A 3-mole of a monatomic ideal gas undergoes an isothermal expansion at 450 K, as the volume…

A: Given Data: The number of moles is, n=3 moles The temperature is, T=450 K The initial volume is,…

Q: In this problem you are to consider an adiabaticexpansion of an ideal diatomic gas, which means that…

Q: What is the internal energy of 1.0 mol of an ideal monatomic gas at 273 K?

A: The equation for the internal energy of an ideal monoatomic gas is given by,

Q: A mole of a monatomic ideal gas is heated until it reaches a temperature of 216 °C . If the change…

Q: What is the total internal energy of 2.00 moles of an ideal gas at 100 K?

Q: A monatomic gas is cooled from 300 K to 250 K at constant volume when 100 J of energy is removed…

A: The specific heat capacity at constant volume of monoatomic gas is 12.5 J/mol.K

Q: One mole of the ideal gas is initially at 3 atm and 6 L. As the gas is slowly heated, the plot of…

Q: An ideal gas expands quasi-statically and isothermally from a state with pressure p and volume V to…

Q: The temperature of 2.20 mol of an ideal monatomic gas is raised 17.6 K at constant volume.What are…

A: Given : number of moles of gas, n = 2.20 mol rise in temperature, ΔT = 17.6 K…

Q: A 3.65-mol sample of an ideal diatomic gas expands adiabatically from a volume of 0.1210 m3 to 0.750…

Q: 2 moles of diatomic gas has a constant volume of 2.0 L and a temperature of 2000 K. If the…

A: Number of moles of the gas, n = 2 Volume of the gas is constant = 2.0 litres Initial temperature,…

Q: One mole of an ideal gas, in the initial state T=300K, P=10atm, is contained in a piston and is…

Q: Suppose 4.00 mol of an ideal diatomic gas, with molecular rotation but not oscillation, experienced…

Q: An ideal gas has a pressure of 0.50 atm and a volume of 10 L. It is compressed adiabatically and…

A: Given: Pressure initial Pi = 5 × 105 Pa Pressure final Pf = 3 × 105 Pa Volume initial Vi = 10 × 10-3…

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

A 1.00 mol sample of an ideal diatomic gas, originally at 1.00 atm and 20 ^oC, expands adiabatically to 1.75 times its initial volume. What are the final pressure and temperature for the gas? ( Assume no molecular vibration)

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

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

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 has a pressure of 0.50 atm and a volume of 10 L. It is compressed adiabatically and quasi-statically until its pressure is 3.0 atm and its volume is 2.8 L. Is the monatomic, diatomic, or polyatomic?
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?
A sample of a monatomic ideal gas occupies 5.00 L at atmospheric pressure and 300 K (point A in Fig. P17.68). It is warmed at constant volume to 3.00 atm (point B). Then it is allowed to expand isothermally to 1.00 atm (point C) and at last compressed isobarically to its original state. (a) Find the number of moles in the sample. Find (b) the temperature at point B, (c) the temperature at point C, and (d) the volume at point C. (e) Now consider the processes A B, B C, and C A. Describe how to carry out each process experimentally. (f) Find Q, W, and Eint for each of the processes. (g) For the whole cycle A B C A, find Q, W, and Eint. Figure P17.68
What is the internal energy of 6.00 mol of an ideal monatomic gas at 200 ?
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?
A sample of a monatomic ideal gas occupies 5.00 L at atmospheric pressure and 300 K (point A in Fig. P21.65). It is warmed at constant volume to 3.00 atm (point B). Then it is allowed to expand isothermally to 1.00 atm (point C) and at last compressed isobarically to its original state, (a) Find the number of moles in the sample. Find (b) the temperature at point B, (c) the temperature at point C, and (d) the volume at point C. (e) Now consider the processes A B, B C, and C A. Describe how to carry out each process experimentally, (f) Find Q, W, and Eint for each of the processes, (g) For the whole cycle A B C A, find Q, W, and Eint.
An amount of n moles of a monatomic ideal gas in a conducting container with a movable piston is placed in a large thermal heat bath at temperature T1 and the gas is allowed to come to equilibrium. After the equilibrium is leached, the pressure on the piston is lowered so that the gas expands at constant temperature. The process is continued quasi-statically until the final pressure is 4/3 of the initial pressure p1 . (a) Find the change in the internal energy of the gas. (b) Find the work done by the gas. (c) Find the heat exchanged by the gas, and indicate, whether the gas takes in or gives up heat.
Two moles of a monatomic ideal gas such as oxygen is compressed adiabatically and reversibly from a state (3 atm, 5 L) to a state with a pressure of 4 atm. (a) Find the volume and temperature of the final state. (b) Find the temperature of the initial state. (c) Find work done by the gas in the process. (d) Find the change in internal energy in the process. Assume Cv=5R and Cp=Cv+R for the diatomic ideal gas in the conditions given.
A 2.00-mol sample of a diatomic ideal gas expands slowly and adiabatically from a pressure of 5.00 atm and a volume of 12.0 L to a final volume of 30.0 L. (a) What is the final pressure of the gas? (b) What are the initial and final temperatures? Find (c) Q, (d) Eint, and (e) W for the gas during this process.
Two moles of a monatomic ideal gas such as helium is compressed adiabatically and reversibly from a state (3 atm, 5 L) to a state with pressure 4 atm. (a) Find the volume and temperature of the final state. (b) Find the temperature of the initial state of the gas. (c) Find the work done by the gas in the process. (d) Find the change in internal energy of the gas in the process.
A monatomic ideal gas undergoes a quasi-static adiabatic expansion in which its volume is doubled. How is the pressure of the gas changed?
One mole of an ideal gas does 3 000 J of work on its surroundings as it expands isothermally to a final pressure of 1.00 atm and volume of 25.0 L. Determine (a) the initial volume and (b) the temperature of the gas.