The ratio of the relative rise in pressure for adiabatic compression to that for isothermal compression is

1. $\gamma$

2. $\frac{1}{\gamma }$

3. 1-$\gamma$

4. $\frac{1}{1-\gamma }$

During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its temperature. The ratio of C_P/C_V for the gas is equal to:

One mole of an ideal gas from an initial state A undergoes via two processes. It first undergoes isothermal expansion from volume V to 3V and then its volume is reduced from 3V to V at constant pressure. The correct P-V diagram representing the two processes is -

1. 
2. 
3. 
4. 

A mass of diatomic gas ($\gamma$=1.4) at a pressure of 2 atm is compressed adiabatically so that its temperature rise from $27°\mathrm{C}$ to $927°\mathrm{C}.$ The pressure of the gas is final state is-

(1) 28 atm                                           

(2) 68.7 atm

(3) 256 atm                                           

(4) 8 atm

If $∆U<mspace\; width="1em"></mspace>and<mspace\; width="1em"></mspace>∆W$ represent the increase in internal energy and work done by the system respectively in a thermodynamical process,which of the following is true?

(1) $∆U=-∆W,$ in a adiabatic process

(2) $∆U=∆W,$ in a isothermal process

(3) $∆U=∆W,$ in adiabatic process

(4) $∆U=-∆W,$in a isothermal process 

A monoatomic gas at pressure ${\mathrm{p}}_1$ and ${\mathrm{V}}_1$ is compressed adiabatically to $\frac{1}{8}\mathrm{th}$ its original volume. What is the final pressure of the gas ?

1, $64<mspace\; width="1em"></mspace>{\mathrm{p}}_1$                                   

2. ${\mathrm{p}}_1$

3. $16<mspace\; width="1em"></mspace>{\mathrm{p}}_1$                                   

4. $32<mspace\; width="1em"></mspace>{\mathrm{p}}_1$

In thermodynamic processes, which of the following statements is not true?

The specific heat at constant pressure and at constant volume for an ideal gas are $C_p$ and $C_v$ and its adiabatic and isothermal elasticities are $E_{\varnothing }$ and$E_{\theta }$  respectively. The  ratio of $E_{\varnothing }$ to $E_{\theta }$ is

1. $C_v/C_p$

2. $C_p/C_v$

3. $C_p{C}_v$

4. $1/C_p{C}_v$