(B) From the ideal gas equation,$PV = nRT$,where $n = \frac{m}{M}$ and $d = \frac{m}{V}$.Thus,$P = \frac{dRT}{M}$.For gases $A$ and $B$ at the same te

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(B) From the ideal gas equation,$PV = nRT$,where $n = \frac{m}{M}$ and $d = \frac{m}{V}$.Thus,$P = \frac{dRT}{M}$.For gases $A$ and $B$ at the same temperature $T$,the ratio of pressures is given by:$\frac{P_A}{P_B} = \frac{d_A}{d_B} \times \frac{M_B}{M_A}$.Given: $d_A = 4 d_B$ and $M_A = 0.5 M_B$ (or $M_B = 2 M_A$).Substituting these values:$\frac{P_A}{P_B} = \frac{4 d_B}{d_B} \times \frac{2 M_A}{M_A} = 4 \times 2 = 8$.

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

Medium

Two separate bulbs contain ideal gases $A$ and $B$. The density of gas $A$ is $4$ times that of gas $B$. The molecular mass of $A$ is half that of gas $B$. The two gases are at the same temperature. The ratio of the pressure of $A$ to that of gas $B$ is

A
$2$
B
$8$
C
$4$
D
$0.25$

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Class 11 Questions

Class 11

Chemistry Questions

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States of Matter

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Ideal gas equation and Related gas laws

An ideal gas expands isothermally and reversibly from $10 \ m^{3}$ to $20 \ m^{3}$ at $300 \ K$ performing $5.187 \ kJ$ of work on surroundings. Calculate the number of moles of gas undergoing expansion? $(R = 8.314 \ J \ K^{-1} \ mol^{-1})$

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Volume of the air that will be expelled from a vessel of $300 \; cm^{3}$ when it is heated from $27 \; ^{\circ}C$ to $37 \; ^{\circ}C$ at the same pressure will be ........... $cm^{3}$

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At a temperature of $27\,^oC$,a $2.461 \, L$ vessel contains $0.3 \, mol$ of $N_2$,$0.5 \, mol$ of $He$,and $6.2 \, mol$ of $O_2$ gases. What is the partial pressure of $N_2$ in $atm$?

Medium

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The use of hot air balloons for sports and meteorological observations is based on which of the following laws?

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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.

Medium

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Two separate bulbs contain ideal gases $A$ and $B$. The density of gas $A$ is $4$ times that of gas $B$. The molecular mass of $A$ is half that of gas $B$. The two gases are at the same temperature. The ratio of the pressure of $A$ to that of gas $B$ is

Similar Questions

An ideal gas expands isothermally and reversibly from $10 \ m^{3}$ to $20 \ m^{3}$ at $300 \ K$ performing $5.187 \ kJ$ of work on surroundings. Calculate the number of moles of gas undergoing expansion? $(R = 8.314 \ J \ K^{-1} \ mol^{-1})$

Volume of the air that will be expelled from a vessel of $300 \; cm^{3}$ when it is heated from $27 \; ^{\circ}C$ to $37 \; ^{\circ}C$ at the same pressure will be ........... $cm^{3}$

At a temperature of $27\,^oC$,a $2.461 \, L$ vessel contains $0.3 \, mol$ of $N_2$,$0.5 \, mol$ of $He$,and $6.2 \, mol$ of $O_2$ gases. What is the partial pressure of $N_2$ in $atm$?

The use of hot air balloons for sports and meteorological observations is based on which of the following laws?

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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