The number of molecules in one litre of an ideal gas at 300 K and 2 atmospheric pressure with mean kinetic energy 2 × 10-9 J per molecules is :

Question

The number of molecules in one litre of an ideal gas at 300 K and 2 atmospheric pressure with mean kinetic energy 2 × 10-9 J per molecules is : (A) 0.75 × 1011 (B) 3 × 1011 (C) 1.5 × 1011 (D) 6 × 1011

Tardigrade Admin · Accepted Answer

K E=(3/2) k T P V=(N/NA) R T N=(P V/k T) =N=1.5 × 1011

Q. The number of molecules in one litre of an ideal gas at $300 K$ and $2$ atmospheric pressure with mean kinetic energy $2 \times 1 0^{- 9} J$ per molecules is :

$0.75 \times 1 0^{11}$

$3 \times 1 0^{11}$

$1.5 \times 1 0^{11}$

$6 \times 1 0^{11}$

$K E = \frac{3}{2} k T$
$P V = \frac{N}{N _{A}} RT$
$N = \frac{P V}{k T}$
$= N = 1.5 \times 1 0^{11}$

Q. The number of molecules in one litre of an ideal gas at 300K and 2 atmospheric pressure with mean kinetic energy 2×10−9J per molecules is :

0.75×1011

3×1011

1.5×1011

6×1011