Question

question 18
in a gas mixture of nitrogen, oxygen, and helium the pressures are 119 torr, 175 torr, and 140 torr respectively. what is the total pressure of the gas mixture?
question 19
a gas mixture has a pressure of 3000torr. the mixture contains nitrogen, oxygen, and helium. the pressure of the oxygen is 494 torr, the pressure of the helium is 422 torr. what is the pressure of the nitrogen?

Explanation:

Step1: Recall Dalton's law of partial pressures

Dalton's law states that \( P_{total}=P_1 + P_2+P_3+\cdots\) where \(P_{total}\) is the total pressure of the gas mixture and \(P_i\) are the partial pressures of the individual gases in the mixture.

Step2: Apply Dalton's law for Question 18

Given \(P_{N_2}=119\) torr, \(P_{O_2} = 175\) torr, \(P_{He}=140\) torr.
\(P_{total}=P_{N_2}+P_{O_2}+P_{He}\)
\(P_{total}=119 + 175+140\)
\(P_{total}=434\) torr

Step3: Apply Dalton's law for Question 19

Given \(P_{total} = 3000\) torr, \(P_{O_2}=494\) torr, \(P_{He}=422\) torr.
We know \(P_{total}=P_{N_2}+P_{O_2}+P_{He}\)
So, \(P_{N_2}=P_{total}-P_{O_2}-P_{He}\)
\(P_{N_2}=3000 - 494-422\)
\(P_{N_2}=3000-(494 + 422)\)
\(P_{N_2}=3000 - 916\)
\(P_{N_2}=2084\) torr

Answer:

Question 18: \(434\) torr
Question 19: \(2084\) torr