Find the density of an ideal gas, if it is given that a sample of this ideal gas occupies volume V at pressure P and absolute temperature T . Also, take the mass of each molecule to be m .

Question

Find the density of an ideal gas, if it is given that a sample of this ideal gas occupies volume V at pressure P and absolute temperature T . Also, take the mass of each molecule to be m . (A) mKT (B) (P m/K T) (C) (P/K m) (D) (P/K T)

Tardigrade Admin · Accepted Answer

The equation which h relates the pressure

(P)

, volume

(V)

and temperature

(T)

of the given state of an ideal gas is known as ideal gas equation

P V = K TN

, where

N

is the number of molecules

P (\frac{N m}{ρ}) = K TN

[∵ V = \frac{m}{ρ}]

Density of gas,

ρ = \frac{P m}{K T}

Q. Find the density of an ideal gas, if it is given that a sample of this ideal gas occupies volume $V$ at pressure $P$ and absolute temperature $T$ . Also, take the mass of each molecule to be $m$ .

$m K T$

$\frac{P m}{K T}$

$\frac{P}{K m}$

$\frac{P}{K T}$

The equation which h relates the pressure $(P)$ , volume $(V)$ and temperature $(T)$ of the given state of an ideal gas is known as ideal gas equation $P V = K TN$ , where $N$ is the number of molecules
$P (\frac{N m}{ρ}) = K TN$ $[∵ V = \frac{m}{ρ}]$
Density of gas, $ρ = \frac{P m}{K T}$

Q. Find the density of an ideal gas, if it is given that a sample of this ideal gas occupies volume V at pressure P and absolute temperature T . Also, take the mass of each molecule to be m .

mKT

KTPm​

KmP​

KTP​