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A monoatomic gas is suddenly compressed to (1/8)th of its initial volume adiabatically. The ratio of its final pressure to the initial pressure is (Given: the ratio of the specific heats of the given gas to be 5/3) :

(A)

32

(B)

40/3

(C)

24/5

(D)

8

Question-2

Pressure versus temperature graph of an ideal gas is a shown if figure. The density of the gas at point A is ρ_{0}. Density at point B will be:

(A)

(B)

(C)

(D)

Question-3

At room temperature (27^{0}C) the rms speed of the molecules of a certain diatomic gas is found to be 1920 ms^{-1}. The gas is :

(A)

H_{2}

(B)

F_{2}

(C)

O_{2}

(D)

Cl_{2}

Question-4

Two gases of equal masses are in thermal equilibrium. If P_{a}, P_{b} and V_{a}, V_{b} are their respective pressures and volumes, then which relation is true?

(A)

2P_{a }V_{a} = P_{b} V_{b}

(B)

P_{a} ≠ P_{b}, V_{a} ≠ V_{b}

(C)

P_{a }/ V_{a} = P_{b} / V_{b}

(D)

P_{a }V_{a} = P_{b} V_{b}

Question-5

The Surface of the lake is at 2^{0}C and depth of the lake is 20m. Find the temperature of the bottom of the lake ?

(A)

2^{0}C

(B)

3^{0}C

(C)

4^{0}C

(D)

552 ^{0}C

Question-6

A cylinder contains 10 kg of gas at a pressure of 10^{7} N/m^{2} . The quantity taken out of the cylinder if the final pressure is . (temperature of gas is constant) is

(A)

7.5 kg

(B)

zero

(C)

9.5 kg

(D)

14.2 kg

Question-7

A gas at one atmosphere and having volume 100 ml is mixed with another gas of equal moles at 0.5 atm and having volume 50 ml in flask of one litre, what is the final pressure?

(A)

05 atm

(B)

1 atm

(C)

0.75 atm

(D)

0.125 atm

Question-8

An electric fan is switched on in a closed room. The air in the room

(A)

is cooled

(B)

is heated

(C)

maintains its temperature

(D)

is heated or cooled depending upon atmosphere pressure

Question-9

The ratio of the speed of sound in nitrogen gas to that in helium gas, at 300 K is:

(A)

(B)

(C)

(D)

Question-10

The equation of state for 5 g of oxygen at a pressure P and temperature T, when occupying a volume V, will be:

(A)

PV = (5/32) RT

(B)

PV = 5 RT

(C)

PV = (5/2) RT

(D)

PV = (5/16) RT

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