One mole of an ideal monatomic gas undergoes a process described by the equation `PV^(3)`= constant. The heat capacity of the gas during this process isA. `2R`B. `R`C. `3/2R`D. `5/2 R`

One mole of an ideal monatomic gas undergoes a process described by th

1.	One mole of an ideal monatomic gas undergoes a process described by the equation `PV^(3)`= constant. The heat capacity of the gas during this process isA. `2R`B. `R`C. `3/2R`D. `5/2 R`
Answer» Correct Answer - B `PV^(x)` = constant (polytropic process) Heat capacity in polytropic process is given by `[C=C_(v)+(R)/(1-x)]` Given that `PV^(3) = consta nt implies x=3` ..(1) Also gas is monoatomic `f=3` ..(2) BY formula `C = (fR)/(2)+R/(1-x)` `C = 3/2 R -R/2 = R`.

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One mole of an ideal monatomic gas undergoes a process described by the equation `PV^(3)`= constant. The heat capacity of the gas during this process isA. `2R`B. `R`C. `3/2R`D. `5/2 R`

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