Heat and Thermodynamics

Step 1: Use the ideal gas law
We know that pV=nRT describes how pressure, volume, and temperature are related for an ideal gas.
Step 2: Set up the formula for work at constant pressure
When pressure is constant, the work ( W ) done by the gas is:
W=p∆V
From the ideal gas law, we can find that:
p∆V=nR∆T
This means the work done is:
W=nR∆T
Step 3: Insert the given values
Number of moles, n=6
Change in temperature, ∆T=20∘C. (This is the same as 20 K for a temperature difference.)
Gas constant, R=8.31Jmol−1K−1
Step 4: Calculate the work
W=6×8.31×20