In a certain gas, the ratio of the velocity of sound and root mean square velocity is `sqrt(5//9)`. The molar heat capacity of the gas in a process given by `PT = constant` is. (Take `R = 2 cal//mol K`). Treat the gas as ideal.A. `R//2`B. `3R/2`C. `5R/2`D. `7R/2`

In a certain gas, the ratio of the velocity of sound and root mean squ

1.	In a certain gas, the ratio of the velocity of sound and root mean square velocity is `sqrt(5//9)`. The molar heat capacity of the gas in a process given by `PT = constant` is. (Take `R = 2 cal//mol K`). Treat the gas as ideal.A. `R//2`B. `3R/2`C. `5R/2`D. `7R/2`
Answer» Correct Answer - D `(V_(sound))/(V_(rms)) =(sqrt((gammaP)/(rho)))/(sqrt((P3)/(rho))) = sqrt(5/9)x` `PT =` constnat `P^(2)V = const implies PV^(1//2)=` constant ltbr gt`implies x = 1/2` `C = C_(v)+(R)/(1-x) = 3/2 R +2R = (7R)/(2)`.

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In a certain gas, the ratio of the velocity of sound and root mean square velocity is `sqrt(5//9)`. The molar heat capacity of the gas in a process given by `PT = constant` is. (Take `R = 2 cal//mol K`). Treat the gas as ideal.A. `R//2`B. `3R/2`C. `5R/2`D. `7R/2`

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