One mole of an ideal monoatomic gas undergoes a process described by the equation PV^3 = constant. The heat capacity of the gas during this process is ……..

One mole of an ideal monoatomic gas undergoes a process described by t

1.	One mole of an ideal monoatomic gas undergoes a process described by the equation PV^3 = constant. The heat capacity of the gas during this process is ……..
Answer» 2R R `3/2`R `5/2`R Solution :`PV^r` =constant (POLYTROPIC process) Heat capacity according to polytropic process formula, `[C=C_V+R/(1-x)]` `RARR` COMPARING `PV^3`= constant with `PV^x` = constant x=3 and for monoatomic GAS f=3 `therefore C_V=(FR)/2` Now `C=C_V+R/(1-x)` `therefore C=(fR)/2 + R/(1-x)` `=(3R)/2+R/(1-3) [because f=3, x=3]` `=(3R)/2-R/2` `therefore` C=R