The molar mass of the unknown gas is equal to 11.62 g/mol.
The ideal gas law can be demonstrated as the general equation of the state of a perfect gas. Ideal gas law gives the product of the volume and pressure of gas equal to the product of the absolute temperature and universal gas constant (R).
The ideal gas equation can be represented in the form equation as follows:
PV = nRT
PV = (m/M) RT
M = mRT/PV
Where m is the mass of the gas, P is the pressure, V is the volume of the gas, and R is the gas constant.
Given, the volume of the unknown gas, V = 750 ml = 7.5 L
The temperature of gas, T = 100°C = 100 + 273 = 373 K
The value of the gas constant, R = 0.082atm.L/K mol
The mass of the gas, m = 2.85 g
The pressure of the given gas, P = 760 mmHg = 1 atm
Substituting the values m, V, R, P, and T in the gas equation, we get:
The mass of unknown gas, M = mRT/PV
M = (2.85 ×0.082 × 373)/(1 ×7.5)
M = 11.62 g/mol
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