Answer: The molar mass of the gas is 35.87 g/mol.
Explanation:
To calculate the mass of gas, we use the equation given by ideal gas:
PV = nRT
or,
[tex]PV=\frac{m}{M}RT[/tex]
where,
P = Pressure of gas = 945 mmHg
V = Volume of the gas = 0.35 L
m = Mass of gas = 0.527 g
M = Molar mass of gas = ? g/mo
R = Gas constant = [tex]62.3637\text{ L.mmHg }mol^{-1}K^{-1}[/tex]
T = Temperature of gas = [tex]88^oC=[88+273]=361K[/tex]
Putting values in above equation, we get:
[tex]945mmHg\times 0.35L=\frac{0.527g}{M}\times 62.3637\text{ L.mmHg }mol^{-1}K^{-1}\times 361K\\\\M=35.87g/mol[/tex]
Hence, the molar mass of the gas is 35.87 g/mol.
