Given below are two statements: 
 

Statement I:	Zeroth law of thermodynamics explains the concept of energy.
Statement II:	Energy is independent of temperature.

 

1.	Statement I is false but Statement II is true.
2.	Both Statement I and Statement II are true.
3.	Both Statement I and Statement II are false.
4.	Statement I is true but Statement II is false.

Which of the following is true for the molar heat capacity of an ideal gas?

During an adiabatic process, the pressure of a gas is found to be proportional to the fourth power of its absolute temperature. The ideal gas would be :

1.  ${\mathrm{H}}_2$

2.  He

3.  The mixture of ${\mathrm{H}}_2$ and He

4.  ${\mathrm{CH}}_2$

The PV diagram of an ideal gas is shown in the figure. The work done by the gas in the process $1\to 2\to 3\to 4$ is given by:

Without external heat work done possible in

1 Adiabatic process

2 Isochoric process

3 Isothermal process

4 Isobaric process

The cyclic process of 2 moles of diatomic gas is shown in the figure. Which of the following statements is correct?

Internal energy remains the same throughout the process along the path in

1 Adiabatic process

2 Isothermal process

3 Cyclic process

4 Both (2) & (3)

Ideal gas is taken through cycle $P\to Q\to R\to P$ as shown in the figure. If net heat supplied to the gas in the cycle is 15 J, the work done by the gas in the process $R\to P$ is

1. 5J

2. -15 J

3. -20 J

4. -12 J

An ideal gas undergoes a cyclic process as shown in the graph between pressure \((P)\) and temperature \((T).\) The part of the graph which represents the absorption of heat from the surrounding are:
             
1. \(\mathrm{AB, CD}\)
2. \(\mathrm{DA, BC}\)
3. \(\mathrm{DA, AB}\)
4. \(\mathrm{BC, AB}\)

Two cylinders \(A\) and \(B\) of equal capacity are connected to each other via a stop cock. A contains an ideal gas at standard temperature and pressure. \(B\) is completely evacuated. The entire system is thermally insulated. The stop cock is suddenly opened. The process is: 
1. adiabatic 
2. isochoric 
3. isobaric 
4. isothermal