Gas in a container is at a pressure of 1.50 atm and avolume of 4.00 m3. What is the work done by the gas (a) if it expands at constant pressure to twice its initialvolume? (b) If it is compressed at constant pressure toone quarter of its initial volume?

Gas in a container is at a pressure of 1.50 atm and avolume of 4.00 m3. What is the work done by the gas (a) if it expands at constant pressure to twice its initialvolume? (b) If it is compressed at constant pressure toone quarter of its initial volume?

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter3: The First Law Of Thermodynamics

Section: Chapter Questions

Problem 90AP: A cylinder containing three moles of a monatomic ideal gas is heated at a constant pressure of 2...

See similar textbooks

Related questions

Q: A sample of blood plasma occupies 0.599 L at 0°C and 1.03 bar, and is compressed isothermally by…

A: Given Vi=0.559 L external pressure (Pext)=95.2 bar Compression =0.57% Required work done

Q: Consider the steady adiabatic flow of an incompressible fluid. If the temperature of the fluid…

Q: A cylinder with a movable piston holds 2.95 mol of argon at aconstant temperature of 235 K. As the…

A: It is given that, n=2.95 mol of argon is kept in a cylinder with a moving piston at a constant…

Q: A balloon contains 5.00 moles of a monatomic ideal gas. As energy is added to the system by heat…

Q: With the pressure held constant at 260 kPa, 43 mol of a monatomic ideal gas expands from an initial…

A: Pressure, P = 260 kPa initial volume, Vi = 0.75 m3 Final volume, Vf = 1.9 m3

Q: A gas expands as shown. If the heat taken in during this process is 1.02x106 J and 1 atm = 1.01x105…

A: Given, 1 atm = 1.01x105 N.m-2 the heat taken in during this process is, ∆Q=1.02x106 J Work done W…

Q: Calculate the work done by the expansion of 1 m3 of an ideal gas at an initial pressure of 105 Pa if…

A: T=PVnR=105 Pa1 m31 mole8.314 J/mol·K=12.6 K Equation to find the isothermal work done W=nRTlnVfVi

Q: As an adiabatic expansion of air occurs through a nozzle from 828 kPa and 71°C to 183 kPa. The…

A: Given,pressure, P1 = 828 kPapressure, P2 = 183 kPaTemperature, T1 = 71°CThe process is adiabatic…

Q: fa gas does negative work, what does the internal energy of the gas tend to do?

A: The negative work is done when the work is done on a system.

Q: The volume of 50g of oxygen gas is compressed isothermally at 85°C to half it original value.…

Q: When a gas expands adiabatically, it does work on its surroundings. But if there is no heat input to…

A: Adiabatic expansion: In thermodynamics where is process is discussed for the transfer of heat on…

Q: How much work is done by a pump to slowly compress, isothermally, 4.80 L of nitrogen at 0°C and 1.30…

A: Given, initial volume, Vi=4.8 L Final volume, Vf=1.2 L temperature, T=0°C=273.16 K Number of moles,…

Q: In an industrial process, a fuel-air mixture is fitted with a piston. When the mixture is ignited at…

Q: Consider the steady adiabatic flow of an incompressible fluid. Can the temperature of the fluid…

Q: 2.26 Carbon dioxide (CO,) gas within a piston-cylinder assembly undergoes an expansion from a state…

A: Given: Initial pressure is 20 lbf/in2. Final pressure is 5 lbf/in2. Initial volume is 0.5 ft3. Final…

Q: You have 100.0 m3 of an ideal gas at 300.0 Pa, and it expands, doing 6000.0 J of work. What is the…

A: The initial volume of the gas, Vi = 100.0 m3 Pressure, P = 300.0 Pa Work-done, W = 6000.0 J

Q: A 6.80-mole ideal gas system is maintained at a constant volume of 7.00 liters. If 1.70 ✕ 102 J of…

Q: Saturated water vapor at 150C is compressed in a reversible steady-flow device to 1000 kPa while its…

A: From the saturated water vapor, the pressure and the specific volume at the temperature of 150o C…

Q: Find the work done on a system consisting of an ideal gas expanding from V0 to 2V0 along the path P…

Q: A gas expands from an initial volume of 0.40 m3 to a final volume of 0.62 m3 as the pressure…

A: Initial volume, V1=0.4 m3 Final volume, V2=0.62 m3 Initial pressure, P1=110 kPa Final pressure,…

Q: An ideal gas is taken through a quasi-static process described by P = aV2, with a = 2.20 atm/m6, as…

A: Given data: A quasi-static process P = αV2 a = 2.20 atm/m6 Initial volume (Vi) = 1.00 m3 Final…

Q: In a quasi-static isobaric expansion, 500 J of work are done by the gas. If the gas pressure is 0.80…

Q: An ideal gas ( = 1.4) Volume 2 m3 and if is compressed to 4x106 Pa adiabatic at Volume 0.5 m3.…

A: Given : Adiabatic constant, γ = 1.4P1 = 4×106 N/m2 V1 = 2 m3 V2 = 0.5 m3

Q: 3. Air is compressed slowly and frictionlessly in a cylinder according to the relationship…

Q: Calculate the amount of work W done on a gas that undergoes a change of state described by the pV…

Q: If 1 kg of air at 250 kPaa pressure and 100°C were to be expanded at constant pressure in a closed…

Q: In an isothermal process, one mole of an ideal monatomic gas at a temperature T is taken from an…

Q: A system consisting of an ideal gas at the constant pressure of 120kPa gains 960 J of heat. Find the…

A: (a) The work done is W=PΔV Here, P is the pressure of the gas, ∆V is the change in volume. The…

Q: As an ideal gas expands at constant pressure from a volume of0.74 m3 to a volume of 2.3 m3 it does…

A: Expression for work done W=PVf-Vi Rearrange in term of P P=WVf-Vi

Q: The piston is compressed with gas in two ways - once isothermal, the second adiabatic. In which case…

A: The final pressure is higher in adiabatic process.

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

Q: Estimate the work done in changing volume of a gas from 7.8 m3 to 2.6 m3 at constant pressure of…

Q: A cylinder fitted with a frictionless piston initially contains 2 moles of carbon dioxide at 700 K.…

Q: During real expansion and compression processes in piston cylinder devices, it has been observed…

Q: A container having a volume of 5 m3 holds 8 moles of helium gas at 100°C. If the helium behaves like…

Q: Pressure P, volume Vand temperature T for a certain gas are related by p --p,Where a and bare…

A: In the given question , We have to calculate the work done by the gas if pressure remains constant.

Q: A sample of gas expands from an initial pressure andvolume of 10 Pa and 1.0 m3 to a final volume of…

A: The expression for the work done can be written as,

Q: In an adiabatic expansion of an ideal gas, a work of 125J is done. What is the internal energy of…

A: Given: Process is adiabatic expansion: In adiabatic expansion no heat transfer to the system ∆Q = 0…

Q: Calculate the work done of an ideal gas expanding isothermally from an initial volume of 5.00L to…

A: Given data: The initial volume is V1=5 L=5×10-3 m3. The final volume is V2=25 L=25×10-3 m3. The…

Q: Repeat the preceding calculations for an ideal diatomic gas expanding adiabatically from an initial…

A: Draw the schematic graph of pressure verse volume:

Question

Gas in a container is at a pressure of 1.50 atm and a
volume of 4.00 m3. What is the work done by the gas
(a) if it expands at constant pressure to twice its initial
volume? (b) If it is compressed at constant pressure to
one quarter of its initial volume?

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

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 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

A car tile contains 0.0380 m3 of air at a pressure of 2.20105 Pa (about 32 psi). How much more internal energy does this gas have than the same volume has at zero gauge pressure (which is equivalent to normal atmospheric pressure)?
Steam to drive an old-fashioned steam locomotive is supplied at a constant gauge pressure of 1.75106 N/m2 (about 250 psi) to a piston with a 0.200-m radius. (a) By calculating pv , find the work done by the steam when the piston moves 0.800 m. Note that this is the net work output, since gauge pressure is used. (b) Now find the amount of work by calculating the force exerted times the distance traveled. Is the answer the same as in part (a)?
A cylinder containing three moles of a monatomic ideal gas is heated at a constant pressure of 2 atm. The temperature of the gas changes from 300 K to 350 K as a result of the expansion. Find work done (a) on the gas; and (b) by the gas.
When 400 J of heat are slowly added to 10 mol of an ideal monatomic gas, its temperature rises by 10 . What is the work done on the gas?
An ideal gas expands quasi-statically to three times its original volume. Which process requires more work from the gas, an isothermal process or an isobaric one? Determine the ratio of the work done in processes.
A monatomic ideal gas undergoes a quasi-static adiabatic expansion in which its volume is doubled. How is the pressure of the gas changed?
Consider a cylinder with a movable piston containing n moles of an ideal gas. The entire apparatus is immersed in a constant temperature bath of temperature T kelvin. The piston is then pushed slowly so that pressure of the gas changes quasi-statically from p1 to p2 at constant temperature T. Find the work done by the gas in terms of n, R T, p1 , and p2 .
One mole of an ideal gas is heated slowly so that it triples its volume and pressure, in such a way that the pressure of the gas is directly proportional to its volume (linear relationship). Whats the work consumed by the gas?
In a quasi-static isobaric expansion, 500 J of work are done by the gas. If the gas pressure is 0.80 atm, what is the fractional increase in the volume of the gas, assuming it was originally at 20.0 L?
During some actual expansion and compression processes in piston–cylinder devices, the gases have been observed to satisfy the relationship PV n = C, where n and C are constants. Calculate the work done when a gas expands from 350 kPa and 0.03 m3 to a final volume of 0.2 m3 for the case of n = 1.5.
How much work is done when 0.566 m3 of air initially at a pressure of 1.0335 bar and temperature of 7°Cundergoes an increase in pressure upto 4.13 bar in a closed vessel?
A container having a volume of 5 m3 holds 8 moles of helium gas at 100°C. If the helium behaves like an ideal gas, the total energy of the system is (write your answer in kilo-joules, e.g. if the answer is 15,200 J, write 15.2)