In a mixture of He, O, and N, gases He exerts a partial pressure of 15.22 mm Hg and the partial pressure of O, is 35.21 mm Hg. What is the partial pressure of N, if the total
pressure is 88.91 mm Hg.

P(N)  = 38.48 mmHg

Explanation:

Given data:

Partial pressure of He = 15.22 mmHg

Partial pressure of O = 35.21 mmHg

Partial pressure of N = ?

Total pressure = 88.91 mmHg

Solution:

According to Dalton law of partial pressure,

The total pressure inside container is equal to the sum of partial pressures of individual gases present in container.

Mathematical expression:

P(total) = P₁ + P₂ + P₃+ +Pₙ

Now we will solve this  problem by using this law.

P(total) = P(He) + P(O) + P(N)

88.91 mmHg = 15.22 mmHg + 35.21 mmHg + P(N)

88.91 mmHg = 50.43 mmHg + P(N)

P(N)  = 88.91 mmHg  - 50.43 mmHg

P(N)  = 38.48 mmHg