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Question

Equal masses of N2 and O2 gases are filled in vessel A and B. The volume of vessel B is double of A. The ratio of pressure in vessel A and B will be


A
16:7
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B
16:14
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C
32:7
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D
32:28
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Solution

The correct option is A 16:7
The mathematical form of the Ideal Gas Law is:
PV = nRT and n = m/MW
Where:P - pressure
V - volume
n - number of moles
T - temperature
m - mass
MW - Molecular Weight
R - ideal gas constant
So we can write,
PaPb =Mb×VbMa×Va
here, Vb=2VaandMa = atomic wt of O2 = 8 and Mb = atomic wt of N2 = 7
Putting these values we get,
Pa/Pb = 16/7

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