Question

N a system for separating gases, a tank containing a mixture of hydrogen and carbon dioxide is connected to a much larger tank where the pressure is kept very low. The two tanks are separated by a porous membrane through which the molecules must effuse. If the initial partial pressures of each gas is 5.00 atm, what will be the mole fraction of hydrogen in the tank after the partial pressure of carbon dioxide has declined to 4.50 atm?

a. 52.1%
b. 27.4%
c. 4.68%
d. 37.2%
e. 32.1%

Answer 1

52.63%

Step-by-step explanation:

We can obtain the mole fraction from the formula;

partial pressure = mole fraction * total pressure

mole fraction = partial pressure/total pressure

Partial pressure of Hydrogen = 5.00

Partial pressure of Carbon-dioxide= 4.50

Total gas pressure = 9.50

Mole fraction of Hydrogen = Partial pressure of Hydrogen/ Total gas pressure

= 5.00/9.50

= 0.5263

= 52.63%