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At \mathrm{0^{\circ}C}, the density of a certain oxide of a gas at bars is same as that of dinitrogen at 5 bars . what is the moleculars mass of the oxide ________

Option: 1

70 g /mol


Option: 2

90 g/mol


Option: 3

75 g/mol


Option: 4

95 g/mol


Answers (1)

best_answer

Equation expressing the relation between density (d), pressure (p) absolute temperature (T) and molar mass (M) of a gas is 

\mathrm{d=\frac{P M}{R T}}

Density of the oxide of the gas , \mathrm{d_1=\frac{2 \times M}{R \times 273}}

Density of \mathrm{N_{2}} gas, \mathrm{d_2=\frac{5 \times 28}{R \times 273}}

It is mentioned that under the given conditions,

\mathrm{\begin{aligned} d_1 & =d_2 \\ \frac{2 M}{R \times 2+3}=\frac{5 \times 28}{R \times 273} \Rightarrow 2 M & =5 \times 21 \\ \Rightarrow M & =\frac{5 \times 28}{2} \\ & =70 \mathrm{~g}(\mathrm{~mol} . \end{aligned}}

Posted by

Ritika Kankaria

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