A gas is heated by 1ºC in a cylinder fitted with a piston. The weight of the piston is G and its area S. During heating the gas does work to lift the piston. Express this work:
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
Sol. The pressure acting on the gas is P = 
. If heating the gas by 1º raises the piston to a height h the work done by the gas will be
A = Gh = PSh
But Sh is equal to the increment in the gas volume (V – V 0 ) caused by the rising piston. Hence,
A = P (V – V 0 )
The equation of state of an ideal gas gives us the following equations:
PV 0 = RT 0 and PV = R (T 0 + 1)
whence A PV – PV 0 = R.
A = P (V – V 0 ) = R.
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems