Calculating Work Done by Gas at Constant Pressure

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SUMMARY

The discussion focuses on calculating the work done by a gas at constant pressure during a temperature increase from 400K to 550K with a volume of 8m³ and a pressure of 200kPa. The ideal gas law is referenced, specifically the equation P * V / T = N * K, where K is the Boltzmann constant (1.38 * 10^-23 J/K). The participants emphasize the need to apply the work equation for constant pressure, which is W = P * ΔV, to determine the work done by the gas. The final answer should be expressed in kilojoules (kJ).

PREREQUISITES
  • Understanding of the Ideal Gas Law
  • Knowledge of thermodynamic work equations
  • Familiarity with pressure-volume relationships
  • Basic concepts of temperature in Kelvin
NEXT STEPS
  • Learn how to apply the work equation W = P * ΔV for gas expansion
  • Study the Ideal Gas Law in detail, including its applications
  • Explore resources on thermodynamics, particularly pressure-volume work
  • Review examples of work calculations in thermodynamic systems
USEFUL FOR

Students studying thermodynamics, physics enthusiasts, and anyone involved in gas law applications or thermodynamic calculations.

pizzamakeren
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Homework Statement
How much work has the gas done?
Relevant Equations
K = Kelvin / Kpa = Kelvin Pascal
A gas with a volume of 8m^3 with a temperature of 400K gets warmed up to 550K with a constant pressure of 200Kpa. How much work has the gas done to the environment?

I think i might need to use the ideal gas law for this which is:
( P * V / T = N * K ) Where V is volume, T is temperature and N is the amount of atoms. P is pressure and K is a constant 1,38 * 10^-23J * K

The answer is supposed to be given in Kj, but I am unsure to how I am supposed to go forward.
 
Last edited:
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Are you familiar with the ideal gas law? Are you familiar with the equation for work in terms of pressure and volume change?
 
pizzamakeren said:
Homework Statement:: How much work has the gas done?
Relevant Equations:: K = Kelvin / Kpa = Kelvin Pascal

A gas with a volume of 8m^3 with a temperature of 400K gets warmed up to 550K with a constant pressure of 200Kpa. How much work has the gas done to the environment?

I think i might need to use the ideal gas law for this which is:
( P * V / T = N * K ) Where V is volume, T is temperature and N is the amount of atoms. P is pressure and K is a constant 1,38 * 10^-23J * K

The answer is supposed to be given in Kj, but I am unsure to how I am supposed to go forward.
I see that you've edited your Original Post after reading the hints/questions by @Chestermiller

So when the gas expands, it does work, right? A quick Google search provides some good learning resources if your textbook is not seeming to help...

https://www.ux1.eiu.edu/~cfadd/1150/14Thermo/work.html

https://www.khanacademy.org/science...ry/internal-energy-sal/a/pressure-volume-work
 

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