At 0°C, the density of a certain oxide of a ...

NCERT Class XI Chemistry States of Matter Solutions

Question : 4 of 23

Marks: +1, -0

At 0°C, the density of a certain oxide of a gas at 2 bar is same as that of dinitrogen at 5 bar. What is the molecular mass of the oxide?

Solution:

M_{\text{oxide}}

\frac{d_{\text{oxide}}RT}{P_{\text{oxide}}}

... (1)

M_{\mathrm{N}_2}

\frac{d_{\mathrm{N}_2}RT}{P_{\mathrm{N}_2}}

... (2)

Dividing equation (1) by equation (2) gives

\frac{M_{\text{oxide}}}{M_{\mathrm{N}_2}}

\frac{d_{\text{oxide}}RT \times P_{\mathrm{N}_2}}{P_{\text{oxide}} \times d_{\mathrm{N}_2}}

But

{d_{\text{oxide}}}

d_{\mathrm{N}_2}

∴

M_{\text{oxide}}

\frac{5\,\text{bar}}{2\,\text{bar}}

× 28

\mathrm{gmol}^{-1}

= 70

\mathrm{gmol}^{-1}

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