The volume of 0.25 mol of a gas at 72.7 kPa and 15°C is __________ m³.

Question

Quizplus · Accepted Answer

The volume of a gas can be calculated using the ideal gas law: 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 in kelvin.
First, we need to convert the temperature from Celsius to Kelvin: 
T = 15°C + 273.15 = 288.15 K
Now we can use the ideal gas law: 
V = (nRT)/P = (0.25 mol)(8.314 J/mol·K)(288.15 K)/(72.7 kPa) = 0.0328 m³
Finally, we need to convert m³ to mL: 
0.0328 m³ x (1000 L/1 m³) x (1000 mL/1 L) = 32.8 mL
Expressed in scientific notation, this is 8.2 x 10^-5 m³ or mL, which is closest to answer choice D.

The Volume of 0