Two moles of an ideal monoatomic gas is taken through a cycle ABCA as shown in the p - T diagram. During the process AB, the pressure and temperature of the gas vary such that pT = constant. If `T_(1)= 300 K` and the amount of heat released by the gas during the process AB is `Q = -x R`, then the value of x is

Answer

`2100`

Explanation

In the process `pV^(gamma)=` constant
Molar heat capacity `C=R/(gamma-1)+R/(1-x)`
Here the process is `p^(2)V=` constant
or `PV^(1//2)=` constant
i.e. `x=1/2`
`C=R/(5/3-1)+R/(1-1/2)C=3.5R`
`Q_(AtoB)=nCDeltaT`
`Q_(AtoB)=2xx3.5Rxx(300-600)`
`Q_(AtoB)=-2100R`