The density of the SF₆ gas at the given pressure and temperature is 2.96 g/l.
The given parameters:
- temperature of the SF₆ gas, T = 27 ⁰C = 273 + 27 = 300 K
- pressure of the SF₆ gas, P = 0.5 atm
The molecular mass of the SF₆ gas is calculated as follows;
M of SF₆ = 32 + (6 x 19) = 146 g/mol
The density of the SF₆ gas is calculated by applying ideal gas law as follows;
[tex]PV = nRT\\\\PV = \frac{m}{M} RT\\\\PM = \frac{m}{V} RT\\\\PM = \rho RT\\\\\rho = \frac{PM}{RT}[/tex]
where;
- [tex]\rho[/tex] is the density of the gas
- R is the ideal gas constant = 0.0821 L.atm/mol.K
[tex]\rho = \frac{0.5 \times 146}{0.0821 \times 300} \\\\\rho = 2.96 \ g/l[/tex]
Thus, the density of the SF₆ gas at the given pressure and temperature is 2.96 g/l.
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