Question:

At constant temperature 200 $cm^3$ of $N_2$ at 720 mm and 400 $cm^3$ of 02 at 750 mm pressure are put together in a one litre flask. The final pressureof mixture is

Updated On: Jun 24, 2024

Hide Solution

Verified By Collegedunia

The Correct Option is D

$P_{N_2} = \frac{200 \times 720}{1000}$ = 144 mm

$P_{O_2} = \frac{400 \times 750}{1000}$ = 300 mm

$\therefore$ $P_{Total} = P_{N_2} + P_{O_2}$
$P_{Total} = 144 + 300$
$P_{Total} = 444 \ mm$

So, the correct option is (D): $444 \ mm$

Was this answer helpful?

Hide Solution

Verified By Collegedunia

The number of moles of nitrogen,
$n=\frac {PV}{RT}$

$n=\frac {720 \times 200}{RT}$
The number of moles of nitrogen,
$n=\frac {PV}{RT}$

$n=\frac {750 \times 400}{RT}$
The final pressure of the mixture is,
$PV=nRT$
$P=\frac {nRT}{V}$

$P=\frac {\frac {720 \times 200}{RT}+\frac {750 \times 400}{RT}}{1000}RT$

$P=\frac {144000+300000}{1000}$

$P=\frac {444000}{1000}$
$P=444 \ mm$

So, the correct option is (D): $444 \ mm$

Was this answer helpful?

The matter is made up of very tiny particles and these particles are so small that we cannot see them with naked eyes.

The solid-state is one of the fundamental states of matter.
Solids differ from liquids and gases by the characteristic of rigidity.
The molecules of solids are tightly packed because of strong intermolecular forces; they only oscillate about their mean positions.

The molecules in a liquid are closely packed due to weak intermolecular forces.
These forces are weaker than solids but stronger than that of gases.
There is much space in between the molecules of liquids which makes their flowing ability easy.

In this state of matter, distances between the molecules are large (intermolecular distance is in the range of 10^-7-10^-5 cm.
The intermolecular forces experienced between them are negligible.
Thus, translatory, rotatory and vibratory motions are observed prominently in gases.