Which of the following diagrams (figure) depicts ideal gas behaviour?

      
1. (a), (c)
2. (a), (d)
3. (c), (d)
4. (a), (b)

Boyle's law is applicable for an:
1. adiabatic process
2. isothermal process
3. isobaric process
4. isochoric process

A cylinder containing an ideal gas is in a vertical position and has a piston of mass \(M\) that is able to move up or down without friction (figure). If the temperature is increased,
                     

The volume versus temperature graphs for a given mass of an ideal gas are shown in the figure at two different values of constant pressure. What can be inferred about relation between \(\mathrm{P_1}\) and \(\mathrm{P_2}\)?

                  
1. \(\mathrm{P_1}>\mathrm{P_2} \)
2. \(\mathrm{P_1}=\mathrm{P_2} \)
3. \(\mathrm{P_1}<\mathrm{P_2} \)
4. data is insufficient

1 mole of $H_2$ gas is contained in a box of volume V = 1.00 $m^3$ at T = 300 K. The gas is heated to a temperature of T = 3000 K and the gas gets converted to a gas of hydrogen atoms. The final pressure would be: (considering all gases to be ideal)

1. same as the pressure initially

2. 2 times the pressure initially

3. 10 times the pressure initially

4. 20 times the pressure initially

An inflated rubber balloon contains one mole of an ideal gas, has a pressure \(P,\) volume \(V\) and temperature \(T.\) If the temperature rises to \(1.1T,\) and the volume is increased to \(1.05V,\) the final pressure will be: