Gas laws from KTG

Q.

A gas cylinder has walls that can bear a maximum pressure of $1.0\times {10}^6$ Pa. It contains a gas at $8.0\times {10}^5$ Pa and 300 K. The cylinder is steadily heated. Neglecting any change in the volume, calculate the temperature at which the cylinder will break~

1. 325 K

2. 350 K

3. 365 K

4. 375 K

Q.

Three balloons are filled with different amounts of an ideal gas. One balloon is filled with 3 moles of the gas, filling the balloon to 30 L. The second balloon contains 2 moles of gas.

The third balloon occupies a volume of 45 L.

(i) What volume will the second balloon occupy?

(ii) How many moles of the gas does the third balloon contain?

1. 40L; 1.5 moles

2. 30 L; 4 moles

3. 20 L; 4.5 moles

4. 10L; 2 moles

Q.

Two gases of equal mass are in thermal equilibrium. If $P_a,P_b$ and $V_a$ and $V_b$ are their respective pressures and volumes, then which relation is true

1. 

2. 

3. 

4. 

Q.

Boyle's law holds for an ideal gas during

1. Isothermal changes

2. Isochoric changes

3. Isobaric changes

4. Isotonic changes

Q.

The gas which obeys Boyles law for maximum range of temperature is

1. 

2. 

3. 

4. He

Q.

The volume of a gas at ${200}^{\circ }C$ is 200 ml. If the temperature is reduced to $-{20}^{\circ }C$ at constant pressure, its volume will be

1. 172.6 ml

2. 17.26 ml

3. 192.7 ml

4. 19.27 ml

Q. A closed hollow insulated cylinder is filled with gas at $0^{\circ }$C and also contains an insulated piston of negligible weight and negligible thickness at the middle point. The gas on one side of the piston is heated to ${100}^{\circ }$ C .If the piston moves 5cm the length of the hollow cylinder is

1. 13.65 cm
2. 27.3 cm
3. 38.6 cm
4. 64.6 cm

Q. By what percentage should the pressure of the given mass of gas be increased so to decrease its volume by 10% at a constant temperature?

1. 5%
2. 11.1%
3. 7.2%
4. 12.5%

Q. A bottle is closed by a cork which contains air at a temperature of $7^{\circ }$C and pressure of 1 atm. The cork can withstand a pressure upto 1.3 atm. Then upto what maximum temperature can we heat the bottle so that the cork gets ejected? (Neglect thermal expansion of the bottle)

1. ${50}^{\circ }$C
2. ${80}^{\circ }$C
3. ${130}^{\circ }$C
4. ${91}^{\circ }$C

Q. Graham's law states that at same pressure and temperature, rate of diffusion of a gas is inversely proportional to its molecular mass.

1. False
2. True