JEE Advanced PYQ Speed of Gas, Pressure and Kinetic Energy

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Topic Question Set

Q 1 :

A mixture of 2 moles of helium gas (atomic mass = 4 amu) and 1 mole of argon gas (atomic mass = 40 amu) is kept at 300 K in a container. The ratio of the rms speeds $(\frac{v_{rms} (helium)}{v_{rms} (argon)})$ is [2012]

0.32
0.45
2.24
3.16

1

2

3

4

(4)

$Using V_{rms} = \sqrt{\frac{3 R T}{M}} \Rightarrow V_{rms} \propto \frac{1}{\sqrt{M}}$

$\frac{V_{rms} (helium)}{V_{rms} (argon)} = \sqrt{\frac{M_{argon}}{M_{helium}}} = \sqrt{\frac{40}{4}} = \sqrt{10} \approx 3.16$

Topic Question Set

Q 1 : A mixture of 2 moles of helium gas (atomic mass = 4 amu) and 1 mole of argon gas (atomic mass = 40 amu) is kept at 300 K in a container. The ratio of the rms speeds (vrms(helium)vrms(argon)) is [2012]

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Q 1 :

A mixture of 2 moles of helium gas (atomic mass = 4 amu) and 1 mole of argon gas (atomic mass = 40 amu) is kept at 300 K in a container. The ratio of the rms speeds $(\frac{v_{rms} (helium)}{v_{rms} (argon)})$ is [2012]