Question

What is the density of Radon (Rn) gas at a temperature of 100°C and a pressure of 0.75
atm?

Answer 1

Density of Radon is 5.44 g/.

Step-by-step explanation:

Given data:

Temperature of gas = 100°C (273+100 = 373 K)

Pressure of gas = 0.75 atm

Density of gas = ?

Solution:

First of all we will derive the formula.

We know that,

PV = nRT

and

n = m/M (m = mass, M = molar mass)

PV = (m/M) RT

PVM = (m/M) RT ×M

PVM = mRT

PVM/V = mRT/V

PM = dRT (m/V = d)

Now we will put the values in formula:

Molar mass of Radon is 222 g/mol .

0.75 atm ×222 g/mol = d× 0.0821 atm.L/mol.K ×373 K

166.5 atm.g/mol = d×30.62 atm.L/mol

d = 166.5 atm.g/mol / 30.62 atm.L/mol

d = 5.44 g/L