NEET Questions - Physics - Kinetic Theory of Gases

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Volume, pressure and temperature of an ideal gas are V, P and T respectively. If mass of molecule is m, then its density is [ $k_B = Boltzmann`s constant$]

$ { P \over k_B T } $
$ { Pm \over k_B T } $
$ { P \over k_B TV } $
$ m k_B T $

The temperature of an ideal gas at atmospheric pressure is 300 K and volume $1m^3$. If temperature and volume become double, then pressure will be

$ 4 \times 10^5 Nm^{-2} $ `
$ 2 \\times 10^5 Nm^{-2} $
$ 1 \times 10^5 Nm^{-2 } $
$ 0.5 \times 10^5 Nm^{-2 } $

At 100 K and 0.1 atmospheric pressure, the volume of helium gas is 10 litres. If volume and pressure are doubled, its temperature will change to

127 K
400 K
25 K
200 K

What is the mass of 2 litres of nitrogen at 22.4 atmospheric pressure and 273 K. $ (R = 8.314 Jmol k^{-1})$

$ 14 \times 22.4 g $
56 g
28 g
None of these

A vessel contains 1 mole of $O_2$ gas (relative molar mass 32) at a temperature T. The pressure of the gas is P. An identical vessel containing 1 mole of He gas (relative molar mass 4) at a temperature 2T has pressure of ..........

8 P
p/8
2 P
P

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

$ PV = \left( { 5 \over 32} \right) RT $
$ PV = \left( { 5 \over 16} \right) RT $
$ PV = \left( { 5 \over 2} \right) RT $
$ PV = 5 RT $

A gas at 1 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?

0.125 atm
0.75 atm
1 atm
0.5 atm

The quantity $ { PV \over k_E T } $ represents

mass of gas
number of moles of gas
number of molecules in gas
K. E. of gas

Equation of gas in terms of pressure (P), absolute temperature (T) and density ($ \rho $) is

$ { P_1 T_1 \over \rho_1} = { P_2 T_2 \over \rho_2 } $
$ { P_1 \over T_1 \rho_1} = { P_2 \over T_2 \rho_2 } $
$ { P_1 \rho_2 \over T_1 } = { P_2 \rho_1 \over T_2 } $
$ { P_1 \rho_1 \over T_1 } = { P_2 \rho_2 \over T_2 } $

$O_2$ gas is filled in a vessel. If pressure is doubled, temperature becomes four times, how many times its density will become.

4
1/4
2
1/2

At a given volume and temperature the pressure of a gas

Varies inversely as the square of its mass
Varies inversely as its mass
is independent of its mass
Varies linearly as its mass

To decrease the volume of a gas by 5% at constant temperature the pressure should be

Incseased by 5.26%
Decreased by 5.26%
Decreased by 11%
Increased by 11%

A gas at the temperature 250 K is contained in a closed vessel. If the gas is heated through 1 K, then the percentage increase in its pressure will be

0.40%
0.10%
0.80%
0.20%

The product of the pressure and volume of an ideal gas is

A constant
Directly proportional to its temperature
Inversely proportional to its temperature
Approx. equal to the universal gas constant

At $ O ^\circ C$ the density of a fixed mass of a gas divided by pressure is x. At $ 100 ^\circ C $ , the ratio will be

x
$ \left ( { 273 \over 373 } \right) x $
$ \left ( { 373 \over 273 } \right) x $
$ \left ( { 100 \over 273 } \right) x $

NEET Physics Questions: Kinetic Theory of Gases