Question

A gas has a vapour density of 2 with respect to oxygen. It's molar mass is??

Answer 1

Answer:

78

Explanation:

Molecular formula=(CH)

n = molar mass =(12+1)×n

=13n

molar mass =2× vapour density

∴ 13n=2×39

n=6

Therefore mass = 13n

= 13×6

= 78

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Answer 2

We have to find the molar mass of the gas if its vapor density with respect to oxygen is 2.

answer : 64 g/mol

explanation :

what is vapor density ?

it is the density of a gas with respect to the density of hydrogen. in fact, it is the ratio of the molar mass of a gas at STP to the molar mass of hydrogen gas.

∵ molar mass of hydrogen gas = 2 g/mol

∴ the vapor density of a gas is the half of molar mass of the gas at STP.

in short, vapor density = $\frac{\text{molar mass of gas at STP}}{2}}$  

here given, the vapor density of gas with respect to oxygen = 2

vapor density of gas = molar mass of the gas/2

vapor density of oxygen = molar mass of oxygen gas/2 = 32/2 = 16

now vapor density of the gas with respect to oxygen = vapor density of the gas/vapor density of oxygen

⇒ 2 = (molar mass of the gas)/(2 × 16)

⇒ molar mass of the gas = 2 × 2 × 16 = 64 g/mol

Therefore the molar mass of the gas is 64 g/mol.