One mole of an ideal monoatomic gas is taken through the thermodynamic process shown in the `P-V` diagram. The heat supplied to the system is

Options

A. `P_(0)V_(0)((3+pi)/(2))`
B. `P_(0)V_(0)((2pi-1)/(2))`
C. `P_(0)V_(0)(1+pi)`
D. `P_(0)V_(0)((5+pi)/(2))`

Explanation

`DeltaW=P_(0)V_(0)+(1)/(2)pi2P_(0)V_(0)xx(1)/(2)=P_(0)V_(0)(1+(pi)/(2))`
`DeltaU=(3)/(2)(P_(0)2V_(0)-P_(0)V_(0))=(3)/(2)P_(0)V_(0)`
`DeltaQ=P_(0)V_(0)(1+(pi)/(2)+(3)/(2))=P_(0)V_(0)((5+pi)/(2))`