Question

15. Three gases are mixed in a cylinder. The total pressure in the cylinder is 456 mmHg. If
the hydrogen gas has a pressure of 230 mmHg, and the oxygen gas has a pressure of
148 mmHg, what is the pressure of the third gas, nitrogen?​

Answer 1

Answer:

78 mmHg is the partial pressure of the nitrogen.

Explanation:

According to the Dalton's law, the total pressure of the gas is equal to the sum of the partial pressure of the mixture of gasses.

$P=p_{1}+p_{2}+p_{3}$

where,

$P$ = total pressure of the gas mixture = 456 mmHg

$p_{1}$ = partial pressure of hydrogen gas = 230 mmHg

$p_{2}$ = partial pressure of oxygen gas = 148 mmHg

$p_{3}$ = partial pressure of nitrogen gas = ?

Now put all the given values is expression, we get the partial pressure of the nitrogen gas i.e.  $p_3$ .

$456 mmHg=230 mmHg+148 mmHg+p_3$

$p_3=456 mmHg-230 mmHg-148 mmHg=78 mmHg$

78 mmHg is the partial pressure of the nitrogen.