(A) According to the ideal gas equation,we have: $PV = nRT$ Since the number of moles $n = \frac{m}{M}$,where $m$ is the mass and $M$ is the molar mas

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(A) According to the ideal gas equation,we have: $PV = nRT$ Since the number of moles $n = \frac{m}{M}$,where $m$ is the mass and $M$ is the molar mass,we can substitute this into the equation: $PV = \frac{m}{M} RT$ Rearranging the terms to solve for density $\rho = \frac{m}{V}$: $P = \frac{m}{V} \times \frac{RT}{M}$ $P = \rho \times \frac{RT}{M}$ Therefore,the density $\rho$ is given by: $\rho = \frac{PM}{RT}$

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

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The density of an ideal gas can be given by where $P$,$V$,$M$,$T$ and $R$ respectively denote pressure,volume,molar mass,temperature and universal gas constant.

AP EAMCET 2021 All AP EAMCET

A
$\frac{PM}{RT}$
B
$\frac{PV}{RT}$
C
$\frac{RT}{PM}$
D
$\frac{RT}{PV}$

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States of Matter

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Ideal gas equation and Related gas laws

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If the density of dioxygen gas at $STP$ is $1.43 \, g \, L^{-1}$,calculate its density at $17 \, ^\circ C$ and $800 \, torr$ pressure.

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If the temperature of a gas is increased by $1\,^oC$ while keeping the pressure and the amount of gas constant,what is the change in the original volume of the gas?

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$A$ gas has a volume of $3.4 \ L$ at $298 \ K$. What is the final temperature if the volume of gas increases to $6.8 \ L$ (in $K$)?

EasyMHT CET 2021

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Assuming ideal gas behaviour,the ratio of density of ammonia to that of hydrogen chloride at the same temperature and pressure is: (Atomic wt. of $Cl = 35.5 \ u$)

DifficultJEE MAIN 2018

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The density of an ideal gas can be given by where $P$,$V$,$M$,$T$ and $R$ respectively denote pressure,volume,molar mass,temperature and universal gas constant.

Similar Questions

If the density of dioxygen gas at $STP$ is $1.43 \, g \, L^{-1}$,calculate its density at $17 \, ^\circ C$ and $800 \, torr$ pressure.

If the temperature of a gas is increased by $1\,^oC$ while keeping the pressure and the amount of gas constant,what is the change in the original volume of the gas?

What is the compressibility factor of an ideal gas?

$A$ gas has a volume of $3.4 \ L$ at $298 \ K$. What is the final temperature if the volume of gas increases to $6.8 \ L$ (in $K$)?

Assuming ideal gas behaviour,the ratio of density of ammonia to that of hydrogen chloride at the same temperature and pressure is: (Atomic wt. of $Cl = 35.5 \ u$)

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