Polytropic Process - Practice Questions & MCQ

The thermodynamic process is shown below on a PV diagram for one mole of an ideal gas.If $\mathrm{} \mathrm{V}_2=2 \mathrm{~V}_1$ then the ratio of temperature $\frac{T_2}{T_1}$ is :

 An ideal gas undergoes a quasi-static, reversible process in which its molar heat capacity C remains constant.  If during  this process the relation of pressure P and volume V is given by PVⁿ=constant,  then n is given by (Here C_P and C_V are molar specific heat at constant pressure and constant volume, respectively)

An ideal gas follows a process equation $\mathrm{PT}=$ constant. The correct graph between pressure and volume of gas is

An ideal monoatomic gas undergoes a process in which its internal energy U varies with its volume V according to relation $U=K V^{3 / 2}$, where K is a positive constant. If the molar-specific heat of the gas for this process is $\frac{N R}{3}$, then N is $\qquad$ -

A cylinder contain 1 mole of He gas of 200K.Pa and 27^oC. The gas is compressed reversibly to a pressure of 600K.Pa following a polytropic process with exponent n=1.3. Then calculate the work required during the process.  

For polytropic process $\left(P V^n=\right.$ constant $)$  n can take value as.

0.02 moles of an ideal diatomic gas with initial temperature $20^{\circ} \mathrm{C}$ is compressed from $1500 \mathrm{~cm}^3$ to $500 \mathrm{~cm}^3$. The thermodynamic process is such that $P V^2=\beta {\text {where }} \beta$ is constant. Then the value of $\beta$ is close to: (The gas constant $R=8.31 \mathrm{~J} / \mathrm{K} / \mathrm{mol}$ )
(A) $7.5 \times 10^{-2}$ Pa.m. ${ }^6$
(B) $1.5 \times 10^{-2}$ Pa.m. ${ }^6$
(C) $3 \times 10^{-2}$ Pa.m. ${ }^6$
(D) $2.2 \times 10^{-2}$ Pa.m. ${ }^6$

An ideal gas follows a process described by $P V^2=C$ from $\left(P_1, V_1, T_1\right)_{\text {to }}\left(P_2, V_2, T_2\right)$ (C is a constant). Then

An ideal gas with heat capacity at constant volume C_V undergoes a quasistatic process described by PV^α in a P-V diagram, where α is a constant. The heat capacity of the gas during this process is given by

A real gas within a closed chamber at $27^{\circ} \mathrm{C}$ undergoes the cyclic process as shown in figure. The gas obeys $P V^3=\mathrm{RT}$ equation for the path $A$ to $B$. The net work done in the complete cycle is (assuming $R=8 \mathrm{~J} / \mathrm{molK}$ ):