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

78 mmHg is the partial pressure of the nitrogen.

Step-by-step 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.