How would I calculate the work done by the gas molecules?

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SUMMARY

The discussion focuses on calculating the work done by gas molecules using the formula W = P × ΔV, where W represents work, P is pressure, and ΔV is volume change. The user calculated a volume of 1.7 × 10-22 m3 and initially used a pressure of 0.25 atm, which converts to 25331.25 Pascal in SI units. The correct calculation for work done results in 4.25 × 10-23 Joules when using the appropriate pressure unit.

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  • Understanding of the ideal gas law and thermodynamics
  • Familiarity with unit conversions, particularly between atmospheres and Pascals
  • Basic knowledge of scientific notation
  • Ability to perform multiplication with scientific notation
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  • Learn about the ideal gas law and its applications in thermodynamics
  • Study unit conversions between different pressure units, including atm and Pascal
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  • Practice calculations involving scientific notation and significant figures
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Students studying physics, particularly those focusing on thermodynamics and gas laws, as well as educators looking for examples of work calculations in gas systems.

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Homework Statement


Hello, I just need help figuring out how to calculate the work done by the gas molecules for my physics homework :)
Formula given: W=Px∆V (W=work, P=pressure, and V=volume)
What I know: So my calculated volume is 1.7x10^-22m^3.
Pressure=0.25 A t m (atmospheric pressure)
I just need help figuring out how I would multiply the two together.

Homework Equations

The Attempt at a Solution


Would I change 0.25 A t m to scientific notation? So it would be 2.5x10^-1, then if I multiplied it by 1.7x10^-22m^3 it would be 4.25x10^-23 Joules of work done?
 
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To get the work in joules, it is best to convert the pressure to SI units (pascal).

But I suspect you are wrong about the volume change.
 
Ok, so 0.25 A t m = 25331.25 Pascal, which is 2.533125x10^4 in scientific notation. Would I then just multiply the two together? And no, I did all my calculations correct, the volume change is 1.7x10^-22m^3, I even had another person on here help me achieve that answer.
 

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