A diatomic gas, having C_{p}=frac{7}{2} R and C _{ v }=frac{5}{2} R , is heated at constant pressure

English

Gujarati

Hindi

11.Thermodynamics

hard

A diatomic gas, having $C_{p}=\frac{7}{2} R$ and $C _{ v }=\frac{5}{2} R ,$ is heated at constant pressure. The ratio $dU : dQ : dW :$

A

$5: 7: 3$

B

$5: 7: 2$

C

$3: 7: 2$

D

$3: 5: 2$

(JEE MAIN-2021)

Solution

$d U = n C _{ v } dT$

$dQ = nC _{ p } dT$

$dW = PdV = nRdT$ (isobaric process)

$d U : dQ : dW : C _{ v }: C _{ p }: R$

$=\frac{5 R }{2}: \frac{7 R }{2} \cdot R =5: 7: 2$

Standard 11

Physics

Share

Similar Questions

Three moles of an ideal monoatomic gas perform a cycle as shown in the figure. The gas temperature in different states are: $T_1 = 400\, K, T_2 = 800\, K, T_3 = 2400\,K$ and $T_4 = 1200\,K.$ The work done by the gas during the cycle is …….. $kJ$

hard

In the cyclic process shown in the figure, the work done by the gas in one cycle is

easy

Which of the following statements is correct for any thermodynamic system

easy

In the reported figure, heat energy absorbed by a system in going through a cyclic process is $……\,\pi J$

medium

(JEE MAIN-2021)

A closed container contains a homogeneous mixture of two moles of an ideal monatomic gas $(\gamma=5 / 3)$ and one mole of an ideal diatomic gas $(\gamma=7 / 5)$. Here, $\gamma$ is the ratio of the specific heats at constant pressure and constant volume of an ideal gas. The gas mixture does a work of $66$ Joule when heated at constant pressure. The change in its internal energy is. . . . . . .Joule.

easy

(IIT-2023)