Question

2.72grams of Xe gas is collected at 723mm Hg and 20∘C. Calculate the volume of this gas. Show your work.

Answer 1

The volume of the collected Xe gas, when calculated using the Ideal Gas Law, is 0.5717 liters.

Step-by-step explanation:

To calculate the volume of Xe gas at the given conditions, we will use the Ideal Gas Law, which is stated as PV = nRT, where P is the pressure, V is the volume, n is the number of moles of the gas, R is the ideal gas constant, and T is the temperature.

First, we must convert the given mass of Xe to moles, the pressure to atmospheres, and the temperature to Kelvin:

• Using the molar mass of Xe (131.29 g/mol), we have n = 2.72 g / 131.29 g/mol = 0.0207 moles.
• The given pressure in mm Hg must be converted to atmospheres: 723 mm Hg / 760 mm Hg/atm = 0.9513 atm.
• The given temperature must be converted to Kelvin: 20°C + 273.15 = 293.15 K.

Now we can use the Ideal Gas Law to calculate the volume:

V = (nRT) / P

V = (0.0207 moles * 0.0821 L atm/mol K * 293.15 K) / 0.9513 atm

V = 0.5717 liters