Question

At what temperature does uranium hexafluoride have a density of 0.5820 g/L at 0.5073 atm?

Answer 1

Answer:

4204 K

Explanation:

Step 1: Data

Given data

• Density of uranium hexafluoride (ρ): 0.5820 g/L

• Pressure of uranium hexafluoride (P): 0.5073 atm

Required data

• Universal gas constant (R): 0.08206 atm.L/mol.K

• Molar mass of uranium hexafluoride (M): 352.02 g/mol

Step 2: Calculate the temperature of the gas

We will use the following expression derived from the ideal gas equation.

P × M = ρ × R × T

T = P × M/ρ × R

T = 0.5073 atm × (352.02 g/mol)/(0.5820 g/L) × (0.08206 atm.L/mol.K)

T = 4204 K