1.2 mol of an ideal gas at 310 K is squeezed slowly at a steady temperature from 24 to 6.0 litres…
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
of an ideal gas at is squeezed slowly at a steady temperature from to litres. Find the work done by the gas, its change of internal energy, the heat, and its first and last pressures. ()
Need a reminder? The key ideaShow
Isothermal: , . Isobaric: , . Isochoric: , .
Work done by a gas is the area under its path on a pressure-volume graph. At a steady pressure ; along a straight line, the average pressure times ; at a steady temperature . Expanding gives positive work, squeezing negative. .
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. Work. .
Step 2. First law. , so : that much heat flows out to the bath.
Step 3. Pressures. , and four times as much at the end: .
Answer: , ; and .
Watch out. The work done on the gas, , all leaves as heat.
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