Answer:
40g/mol
Step-by-step explanation:
Step 1:
Data obtained from the question. This includes the following:
Volume (V) = 500mL = 500/1000 = 0.5L
Mass of gass = 1g
Temperature (T) = – 23°C = – 23°C + 273 = 250K
Pressure (P) = 105 KPa = 105/101.325 = 1.04 atm
Number of mole (n) =?
Gas constant (R) = 0.082atm.L/Kmol
Step 2:
Determination of the number of mole of the gas.
With the ideal gas equation, the number of mole of the gas can be obtained as follow:
PV = nRT
Divide both side by RT
n = PV / RT
n = (1.04 x 0.5)/(0.082 x 250)
n = 0.025mole
Step 3:
Determination of the molar mass of the gas:
This is illustrated below:
Mass of the gas = 1g
Number of mole of the gas = 0.025mole
Molar Mass of the gas =..?
Number of mole = Mass /Molar Mass
Molar Mass = Mass /number of mole
Molar Mass of the gas = 1/0.025
Molar Mass of the gas = 40g/mol
Therefore, the molar mass of the gas is 40g/mol