Answer:
Mole fraction SF₄: 0,121
Mole fraction CO₂: 0,879
Partial pressure SF₄: 0,134 atm
Partial pressure CO₂: 0,968 atm
Total pressure: 1,102 atm
Explanation:
The moles of sulfur tetrafluoride gas and carbon dioxide gas are:
5,29g SF₄×[tex]\frac{1mol}{108,07g}[/tex]= 0,0489 moles SF₄
15,6 CO₂×[tex]\frac{1mol}{44,01g}[/tex]= 0,354 moles CO₂
Mole fraction SF₄:
[tex]X_{SF_{4}} = \frac{0,0489mol}{0,0489+0,354}[/tex] = 0,121
Mole fraction CO₂:
[tex]X_{CO_{2}} = \frac{0,354mol}{0,0489+0,354}[/tex] = 0,879
It is possible to obtain partial pressure of both gases with moles of each gas using:
P = nRT/V
Where n are respective moles, R is gas constant (0,082atmL/molK), T is teemperature (27°C=300,15K), V is volume (9,0000L)
Replacing:
Partial pressure SF₄: 0,134atm
Partial pressure CO₂: 0,968atm
Now, the sum of the partial pressures is the total pressure in the tank, that means:
Total pressure: 0,134atm + 0,968atm = 1,102atm
I hope it helps!