One mole of a monoatomic ideal gas occupies two champers of a cylinder partioned by means of a movable pision. The walls of the cylinder as well as the piston are thermal insulators. Initially equal amounts of gas fill both the chambers at (`P_(0), V_(0), T_(0)`). A coil is burnt in the left chamber which absorbs heat and expands , pushing the piston to the right . The gas on the right chamber is compressed until to pressure becomes `32 P_(0)`.

The work done on the gas in the right chamber is

Options

A. `(9)/(2)P_(0)V_(0)`
B. `-(9)/(2)P_(0)V_(0)`
C. `(13)/(2)P_(0)V_(0)`
D. `(17)/(2)P_(0)V_(0)`

Answer

A

Explanation

Work done on the gas =`(P_(R)V_(R)-P_(0)V_(0))/(gamma-1) = (4P_(0)V_(0)-P_(0)V_(0))/(5//3 - 1) = (9)/(2)P_(0)V_(0)`