Question

If the pressure exerted by a gas at 20.0°C in a volume of 3.27 L is 1.81 atm, how many moles of gas are present?

Answer 1

To determine the number of moles of gas present, we can use the ideal gas law equation PV = nRT. By substituting the given values into the equation and solving for n, we find that the number of moles of gas present is 0.232 moles.

Step-by-step 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