Question

The density of a gas is 2. relative to nitrogen.
under the same conditions. The molecular
weight of the gas is
1) 5.6 2) 28 3)56 4 )14​

Answer 1

Answer:

56

Explanation:

molecular wt of N2 ×2

Answer 2

Answer: Option (b) is the correct answer.

Explanation:

It is known that density is mass divided by volume.

Mathematically,     Density = $\frac{mass}{volume}$ ........ (1)

And, according to ideal gas equation PV = nRT

As,          n = $\frac{mass}{\text{molar mass}}$

                $PV = \frac{mass}{\text{molar mass}} RT$

or,   $\frac{mass}{volume} = \frac{P \times \text{molar mass}}{RT}$  .......... (2)

Now, equation equation (1) and (2) we get the relation as follows.

                     d = $\frac{PM}{RT}$

Therefore, calculate the molecular weight of the given gas as follows.

                 $\frac{d_{1}}{d_{2}} = \frac{M_{1}}{M_{2}}$

                $\frac{2 \times d_{N_{2}}}{d_{N_{2}}} = \frac{M_{1}}{14 g/mol}$

                        $M_{1}$ = $2 \times 14$

                                    = 28 g/mol

Therefore, we can conclude that molecular  weight of the gas is 28 g/mol.