Question

A steel cylinder contains 4.5 mol of Xenon gas at a pressure of 5 atm and a temperature of 77 degrees Celsius. What is the volume of the Xenon tank?

Answer 1

3 × 10 L

Step-by-step explanation:

Step 1: Given and required data

• Moles of Xenon gas (n): 4.5 mol

• Pressure of the gas (P): 5 atm

• Temperature (T): 77 °C

• Ideal gas constant (R): 0.082 atm.L/mol.K

Step 2: Convert "T" to Kelvin

When working with gases, we need to use the absolute temperature. We can convert Celsius to Kelvin using the following expression.

K = °C + 273.15

K = 77°C + 273.15 = 350 K

Step 3: Calculate the volume (V) of the tank

We can calculate the volume occupied by the gas using the ideal gas equation.

P × V = n × R × T

V = n × R × T/P

V = 4.5 mol × (0.082 atm.L/mol.K) × 350 K/5 atm = 3 × 10 L