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Multiple Choice
Using the Ideal Gas Law, calculate the density in g/L of chlorine gas at 39.5 °C and a pressure of 1.95 atm. (Molar mass of Cl₂ = 70.90 g/mol)
A
2.45 g/L
B
4.02 g/L
C
3.17 g/L
D
1.89 g/L
Verified step by step guidance
1
Start by recalling the Ideal Gas Law equation: , where is pressure, is volume, is moles of gas, is the ideal gas constant, and is temperature in Kelvin.
Convert the temperature from Celsius to Kelvin using the formula: . For 39.5 °C, calculate .
Use the Ideal Gas Law to express the number of moles in terms of density. Rearrange the equation to and substitute , where is mass and is molar mass.
Express density as . Substitute from the previous step to get .
Plug in the values: atm, g/mol, L·atm/mol·K, and the converted temperature in Kelvin to calculate the density .