Question

determine the partial pressure of each gas as shown in the figure below. note: the relative numbers of each type of gas are depicted in the figure. 2.50 atm partial pressure of he = atm partial pressure of ne = atm partial pressure of ar = atm

Explanation:

Step1: Count the number of each gas molecule

There are 2 Ar molecules, 4 Ne molecules and 6 He molecules. The total number of molecules is \(2 + 4+6=12\).

Step2: Use the formula for partial pressure \(P_i=\frac{n_i}{n_{total}}P_{total}\)

• For Ar: \(n_i = 2\), \(n_{total}=12\), \(P_{total} = 2.50\ atm\). Then \(P_{Ar}=\frac{2}{12}\times2.50=\frac{1}{6}\times2.50\approx0.42\ atm\)
• For Ne: \(n_i = 4\), \(n_{total}=12\). Then \(P_{Ne}=\frac{4}{12}\times2.50=\frac{1}{3}\times2.50\approx0.83\ atm\)
• For He: \(n_i = 6\), \(n_{total}=12\). Then \(P_{He}=\frac{6}{12}\times2.50 = 1.25\ atm\)

Answer:

Partial pressure of Ar = \(0.42\ atm\)
Partial pressure of Ne = \(0.83\ atm\)
Partial pressure of He = \(1.25\ atm\)