4.4 g of an unknown gas occupies 2.24 litres of volume at standard tem...
4.4 g of an unknown gas occupies 2.24 litres of volume at standard tem...
Given:
Mass of gas = 4.4 g
Volume of gas = 2.24 L
Gas at STP
We can use the ideal gas law to determine the number of moles of the gas present:
PV = nRT
where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature.
At STP, the pressure is 1 atm and the temperature is 273 K. Therefore, we can write:
n = PV/RT = (1 atm)(2.24 L)/(0.0821 L·atm/mol·K)(273 K) = 0.092 mol
Next, we can use the molar mass of each gas to determine which gas has a mass of 4.4 g and a mole number of 0.092 mol:
a) SO₂: Molar mass = 64.06 g/mol. Mass of 0.092 mol = 5.89 g, which is greater than the given mass of 4.4 g. Therefore, SO₂ cannot be the gas.
b) CO: Molar mass = 28.01 g/mol. Mass of 0.092 mol = 2.57 g, which is less than the given mass of 4.4 g. Therefore, CO cannot be the gas.
c) O₂: Molar mass = 32.00 g/mol. Mass of 0.092 mol = 2.94 g, which is less than the given mass of 4.4 g. Therefore, O₂ cannot be the gas.
d) CO₂: Molar mass = 44.01 g/mol. Mass of 0.092 mol = 4.04 g, which is very close to the given mass of 4.4 g. Therefore, CO₂ is the gas.
Hence, the correct answer is option 'D' (CO₂).