Ideal Gas Equation

Q. Two Gases X and Y have densities $d_x=3d_y$ and Molecular Masses , $M_x=0.5M_y$. Then, the ratio of their pressures, i.e. $P_x:P_y$ would be

1. 1/4

2. 1/6

3. 4

4. 6

Q.

One litre of a gas weights 2g at 300 K and 1 atm. pressure. If the pressure is made 0.75 atm, at which temperature will one litre of the same gas weigh 1g?

1. 600K

2. 800K

3. 900K

4. 450K

Q.

The intercept of the line drawn for log P (P in atm) and $log\frac{1}{V}$ (V in the litre) for 1 mole of an ideal gas at ${27}^{\circ }$ C is equal to

1. log 2.463

2. log 22.4

3. log 24.63

4. log 2.24

Q.

A cubical vessel has a side with 'I' cm lenth contained a gas at a pressure of 'p'. when the side of the vessel is made $\frac{1}{2}$ cm, the pressure of gas becomes?

1. P/8

2. P

3. 2P

4. 8P

Q.

A samll bubble rises from the bottom of a lake, where the temperature and pressure are $8^{\circ }$C and 6.0 atm, to the water's surface, where the temperature is ${25}^{\circ }$°C and pressure is 1.0 atm. Calculate the final volume of the bubble if its initial volume was 2 mL

1. 12.72 mL

2. 14 mL

3. 11.31 mL

4. 15 mL

Q. If the percentage of nitrogen in an organic compound is $12.5\%$ then the mass of organic compound taken so as to produce $50\text{mL}$ of $N_2$ at $300\text{K}$ and $684\text{mm Hg}$ pressure is $x\text{g}$. The value of $\frac{50}{3}x$ is:
$(R=0.08\text{atm-L/mol-K})$

Q.

'x' moles of $N_2$ gas at S.T.P conditions occupy a volume of 10 litres, then the volume of '2x' moles of $C{H}_4$ at ${273}^{0}C$ and 1.5 atm is

1. 26.6 lit

2. 20 lit

3. 5 lit

4. 16.6 lit

Q.

Two glass bulbs A and B are connected by a very small tube of negligible volume having a stop cock. Volume of bulb A is 100 cm³ and it contains some gas. Bulb B is empty on opening the stop cock, the pressure dropped by 60%. The volume of Bulb B must be____.

1. 200 cm³

2. 100 cm³

3. 150 cm³

4. 180 cm³

Q. The total pressure of a mixture of 8g of oxygen and 14g of nitrogen contained in a 11.2L vessel at $0^{o}C$ is

1. 0.5 atm

2. 1 atm

3. 1.5 atm

4. 2 atm

Q.

Densities of two gases are in the ratio 1 : 2 and their temperatures are in the ratio 2 : 1, then the ratio of their respective pressures is

1. 4 : 1

2. 1:1

3. 2 : 1

4. 1 : 2