If one mole of a monoatomic gas ($\gamma =5/3$) is mixed with one mole of a diatomic gas ($\gamma =7/5$), the value of $\gamma$ for the mixture is:

(1) 1.4

(2) 1.5

(3) 1.53

(4) 3.07

A gas is heated from $0°C<mspace\; width="1em"></mspace>to<mspace\; width="1em"></mspace>100°C$ at 1.0 atm pressure. If the initial volume of the gas is 10 litre, its final volume would be:

(1) 7.32 litre

(2) 10.0 litre

(3) 13.66 litre

(4) 20.0 litre

The rates of diffusion of $O_2<mspace\; width="1em"></mspace>and<mspace\; width="1em"></mspace>H_2$ at same P and T are in the ratio:

(1) 1:4

(2) 1:8

(3) 1:16

(4) 4:1

As the temperature is raised from $20°C<mspace\; width="1em"></mspace>to<mspace\; width="1em"></mspace>40°C$, the average kinetic energy of neon atoms changes by a factor:

(1) 2

(2) $\sqrt{\frac{313}{293}}$

(3) $\frac{313}{293}$

(4) $\frac{1}{2}$

The density of neon will be highest at:

(1) STP

(2) 0$°$ C,2 atm

(3) 273$°$ C, 1 atm 

(4) 273$°$ C,2 atm

At 27$°$ C, the ratio of root mean square speeds of ozone to oxygen is-

1.$\sqrt{(3/5)}$

2. $\sqrt{(4/3)}$

3. $\sqrt{(2/3)}$

4. 0.25

How many mole of He gas occupy 22.4 litre at 30 C and one atmospheric pressure?

(1) 0.90

(2) 1.11

(3) 0.11

(4) 1.0

The rms speed of the molecules of a gas of density 4 kg$m^{-3}<mspace\; width="1em"></mspace>and<mspace\; width="1em"></mspace>pressure<mspace\; width="1em"></mspace>1.2<mspace\; width="1em"></mspace>\times {10}^5\times N{m}^{-2}<mspace\; width="1em"></mspace>is;$

$\left(a\right)<mspace\; width="1em"></mspace>120<mspace\; width="1em"></mspace>m{s}^{-1}$
$\left(b\right)<mspace\; width="1em"></mspace>300<mspace\; width="1em"></mspace>m{s}^{-1}$
$\left(c\right)<mspace\; width="1em"></mspace>600<mspace\; width="1em"></mspace>m{s}^{-1}$
$\left(d\right)<mspace\; width="1em"></mspace>900<mspace\; width="1em"></mspace>m{s}^{-1}$

4.0 g of argon gas pressure P and temperature T K in a vessel. On increasing the temperature by 50^o, 0.8 g of argon was given out to maintain the pressure P.

The original temperature was:

1. 73 K 

2. 100 K

3. 200 K 

4. 510 K 

Correct statement regarding the heating of a liquid is - 

1. Surface tension increases

2. Surface tension is lowered

3. Viscosity increases

4. Surface tension is not affected