The adiabatic modulus of elasticity of a gas | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The adiabatic modulus of elasticity $(E_{\phi})$ is related to the isothermal modulus of elasticity $(E_{	heta})$ by the adiabatic index $\gamma$

Vedclass · Accepted Answer

$1.5 	imes 10^5 \ N/m^2$

Vedclass · Answer

(B) The adiabatic modulus of elasticity $(E_{\phi})$ is related to the isothermal modulus of elasticity $(E_{	heta})$ by the adiabatic index $\gamma$ as follows:$E_{\phi} = \gamma E_{	heta}$Therefore,the isothermal modulus of elasticity is given by:$E_{	heta} = \frac{E_{\phi}}{\gamma}$Given:$E_{\phi} = 2.1 	imes 10^5 \ N/m^2$$\gamma = \frac{C_p}{C_v} = 1.4$Substituting the values:$E_{	heta} = \frac{2.1 	imes 10^5}{1.4}$$E_{	heta} = 1.5 	imes 10^5 \ N/m^2$Thus,the correct option is $B$.

The adiabatic modulus of elasticity of a gas is $2.1 \times 10^5 \ N/m^2$. What will be its isothermal modulus of elasticity? (Given: $\frac{C_p}{C_v} = 1.4$)

Similar Questions

$A$ triatomic gas at an initial temperature of $18^{\circ}C$ is compressed adiabatically to $1/8$ of its initial volume. What is the final temperature of the gas?

$A$ polyatomic gas is compressed to $\left(\frac{1}{8}\right)^{\text{th}}$ of its original volume adiabatically. If its initial pressure is $P_0$,what will be its new pressure (in $P_0$)? (Given: $\gamma = \frac{C_p}{C_v} = \frac{4}{3}$)

The work done in which of the following processes is equal to the internal energy of the system?

In the adiabatic compression, the decrease in volume is associated with

$P-V$ plots for two gases during adiabatic processes are shown in the figure. Plots $1$ and $2$ should correspond respectively to

Vedclass Test Series

Exam Paper Generator

Online Exam Module