Respuesta :
Answer: The partial pressure of oxygen is 76.56 atm , partial pressure of carbon dioxide is 10.44 atm and the total pressure is 87 atm.
Explanation:
According to the ideal gas equation:'
[tex]PV=nRT[/tex]
P = Pressure of the gas = ?
V= Volume of the gas = [tex]100cm^3=0.1L[/tex] [tex]1L=1000cm^3[/tex]
T= Temperature of the gas = 10°C = 373 K
R= Gas constant = 0.0821 atmL/K mol
n= moles of gas= 0.25 +0.034 = 0.284 moles
[tex]P=\frac{nRT}{V}=\frac{0.284\times 0.0821\times 373}{0.1}=87atm[/tex]
[tex]x_{O_2}[/tex] = mole fraction of oxygen=[tex]\frac{\text {moles of }O_2}{\text {moles of }O_2+\text{moles of }CO_2}=\frac{0.25}{0.25+0.034}=0.88[/tex],
[tex]x_{CO_2}[/tex] =mole fraction of carbon dioxide=[tex]\frac{\text {moles of }CO_2}{\text {moles of }O_2+\text{moles of }CO_2}=\frac{0.034}{0.25+0.034}=0.12[/tex]
partial pressure of oxygen = [tex]p_{O_2}=x_{O_2}\times P=0.88\times 87=76.56atm[/tex]
partial pressure of carbon dioxide= [tex]p_{CO_2}=x_{CO_2}\times P=0.12\times 87=10.44atmatm[/tex]
The partial pressure of oxygen is 76.56 atm , partial pressure of carbon dioxide is 10.44 atm and the total pressure is 87 atm.
