Answer:
Answer :
The total pressure inside the cylinder is, 6.7 atm
The mole fraction of N_2 in the mixture is, 0.52
Solution :
First we have to calculate the total pressure inside the cylinder.
According to the Dalton's law, the total pressure of the gas is equal to the sum of the partial pressure of the mixture of gasses.
P_T=p_{N_2}+p_{O_2}+p_{Ar}+p_{He}
Now put all the given values is expression, we get the total pressure inside the cylinder.
P_T=3.5+2.8+0.25+0.15=6.7atm
Now we have to calculate the mole fraction of N_2 in the mixture.
Formula used :
pN_2=XN_2 x P_T
where,
P_T = total pressure = 6.7 atm
pN_2 = partial pressure of nitrogen gas = 3.5 atm
XN_2 = mole fraction of nitrogen gas = ?
Now put all the given values in the above formula, we get
3.5atm=XN_2 x 6.7atm
XN_2=0.52
Therefore, the total pressure inside the cylinder is, 6.7 atm and the mole fraction of N_2 in the mixture is, 0.52
Hope it helps answer the question:)
