Calculating the Number of Moles of Gas Present

Explanation:

To determine the number of moles of gas present, we can use the ideal gas law equation: PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature in Kelvin.

First, we need to convert the given temperature from Celsius to Kelvin by adding 273.15. So, 20.0°C + 273.15 = 293.15 K.

Then, we can rearrange the ideal gas law equation to solve for n:
n = PV / RT

Substituting the given values:
n = (1.81 atm) * (3.27 L) / [(0.0821 L·atm/mol·K) * 293.15 K]
n = 0.232 moles