(C) From the ideal gas equation,$PV = nRT$,we know $PV = (m/M)RT$,where $m$ is mass and $M$ is molar mass.Rearranging for density $d = m/V$,we get $d

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(C) From the ideal gas equation,$PV = nRT$,we know $PV = (m/M)RT$,where $m$ is mass and $M$ is molar mass.Rearranging for density $d = m/V$,we get $d = PM/RT$.Thus,$P = dRT/M$.Given $d_x = 2d_y$ and $M_y = 3M_x$.The ratio of pressures is $\frac{P_x}{P_y} = \frac{d_x R T / M_x}{d_y R T / M_y} = \frac{d_x}{d_y} \times \frac{M_y}{M_x}$.Substituting the given values: $\frac{P_x}{P_y} = (2) \times (3) = 6$.

Class 11 Chemistry States of Matter Ideal gas equation and Related gas laws

Medium

At a given temperature,the density of gas $x$ is twice the density of gas $y$. If the molar mass of $y$ is three times the molar mass of $x$,find the ratio of their pressures $(P_x/P_y)$.

A
$0.25$
B
$4$
C
$6$
D
$1/6$

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States of Matter

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Ideal gas equation and Related gas laws

The minimum pressure required to compress $600 \; dm^{3}$ of a gas at $1 \; bar$ to $150 \; dm^{3}$ at $40^{\circ} C$ is ......... $bar$.

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At what pressure will a quantity of gas occupy a volume of $60 \, mL$,if it occupies a volume of $100 \, mL$ at a pressure of $720 \, mm$ (assuming temperature is constant)?

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At a temperature of $300 \ K$,if the pressure of $0.09 \ mol$ of a gas is halved,what will be its volume?

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If the initial volume of a neon gas is reduced by $15\%$ upon cooling to $75\,^\circ C$,to what temperature in $^\circ C$ should it be heated so that the pressure becomes double?

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An open vessel at $27\,^oC$ is heated such that $\frac{3}{5}$ of the air in it is expelled. Assuming the volume of the vessel remains constant,calculate the temperature in $K$ to which the vessel was heated.

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At a given temperature,the density of gas $x$ is twice the density of gas $y$. If the molar mass of $y$ is three times the molar mass of $x$,find the ratio of their pressures $(P_x/P_y)$.

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The minimum pressure required to compress $600 \; dm^{3}$ of a gas at $1 \; bar$ to $150 \; dm^{3}$ at $40^{\circ} C$ is ......... $bar$.

At what pressure will a quantity of gas occupy a volume of $60 \, mL$,if it occupies a volume of $100 \, mL$ at a pressure of $720 \, mm$ (assuming temperature is constant)?

At a temperature of $300 \ K$,if the pressure of $0.09 \ mol$ of a gas is halved,what will be its volume?

If the initial volume of a neon gas is reduced by $15\%$ upon cooling to $75\,^\circ C$,to what temperature in $^\circ C$ should it be heated so that the pressure becomes double?

An open vessel at $27\,^oC$ is heated such that $\frac{3}{5}$ of the air in it is expelled. Assuming the volume of the vessel remains constant,calculate the temperature in $K$ to which the vessel was heated.

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