Kinetic theory of gas and gas laws

1. A volume V of air saturated with water vapour exerts a pressure P. If the volume is made V/2 isothermally, the final pressure will be

A.  More than 2P

B.   Between P and 2P

C.   2P

D.  P

2. Two identical containers joined by a small pipe initially contain the same gas at pressure p₀ and absolute temperature T₀. One container is now maintained at same temperature while the other is heated to 3T₀. The common pressure of the gas in container will be:

A.  3/2 p₀

B.   2/3 p₀

C.   4/3 p₀

D.  3 p₀

3. If the C_p and C_v are specific heats at constant pressure and constant volume, and for hydrogen gas specific heats C_p-C_v = a; for oxygen gas specific heat C_p-C_v = b. (Units of C_p and C_v are joule/g-K) then the relationship between a and b is

A.  b =a

B.   b= 16a

C.   b = a/16

D.  b=8a

4. A given mass of an ideal gas at pressure P is expanded isothermally to four times the original volume and then compressed adiabatically to its original volume. Assuming γ = 1.5, the new pressure of the gas is

A.  2P

B.   P

C.   4P

D.  P/2