Question

Two vessels A and B are filled with same gas where volume, temperature and pressure in vessel A is twice

the volume, temperature and pressure in vessel B. calculate the ratio of number molecule of gas in vessel A

to that in vessel B.​

Answer 1

PV=nRT

∴n

B

=

RT

PV

and n

A

=

R×2T

2P×2V

or n

A

=

RT

2PV

∴

n

B

n

A

=

1

2

.

Answer 2

Answer:

Let us consider that there are 100 g of each Hydrogen and Helium in two separate containers. Then the no.of moles of Hydrogen and Helium in each vessel would be,

No.of moles of H2= Wt./ Mol.Wt.=100/2 =50 No.of moles of He=Wt/Mol.Wt=100/4=25.

The Press of the gas in vessels of equal volume will be proportional to the no.of moles of the gas.

The Pressure of Hydrogen gas with 50 moles is 2 atm, then the Pressure of Helium gas with 25 moles will be = 2 x 25/50= 1 atm.

So the Pressure of Helium gas will be 1 atm.

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