An ideal gas is taken reversibly around the cycle a-b-c-d-a as shown on the \(T\) (temperature) -\(S\) (entropy) diagram.
                
The most appropriate representation of the above cycle on a \(U\) (internal energy) -\(V\) (volume) diagram is:

1.		2.
3.		4.

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

Thermodynamic processes are indicated in the following diagram.
          
Match the following:

A polyatomic gas $\left(\gamma =\frac{{\displaystyle 4}}{{\displaystyle 3}}\right)$ is compressed to $\frac{1}{8}$ of its volume adiabatically. If its initial pressure is \(P_0,\) its new pressure will be:

Which of the following graph shows the variation of pressure P with volume V for an ideal gas at a constant temperature?

1.		2.
3.		4.

If an ideal gas undergoes two processes at constant volumes ${\mathrm{V}}_1$ $\mathrm{and}$ ${\mathrm{V}}_2$ as shown in the pressure-temperature (P-T) diagram, then:

1. ${\mathrm{V}}_1$ = ${\mathrm{V}}_2$

2. ${\mathrm{V}}_1$ > ${\mathrm{V}}_2$

3. ${\mathrm{V}}_1$ < ${\mathrm{V}}_2$

4. ${\mathrm{V}}_1\ge {\mathrm{V}}_2$

Which of the following statement in the case of a thermodynamic process is not correct?
(The symbols carry their usual meaning)

An ideal gas at \(27^{\circ}\mathrm{C}\) is compressed adiabatically to $\frac{8}{27}$ of its original volume. If $\gamma =\frac{5}{3}$, then the rise in temperature will be:
1. 450 K
2. 375 K
3. 225 K
4. 405 K

Which one of the following processes is reversible?