Answer:
V ≈ 16,662.63 L
Explanation:
The data given in the question includes;
The pressure in the medium, P = 1.23 mmHg
The number of moles of the substance present in the medium, n = 0.773 mol
The temperature of the substance in the medium, T = 152 °C = 425.15 K
The unknown quantity, V = The volume filled by the substance
The ideal gas law equation that can be used to find the unknown volume is given here as follows;
P × V = n × R × T
Where;
R = The Universal Gas Constant = 62.363 mmHg·L·mol⁻¹·K⁻¹
From the ideal gas law equation, we get;
V = n × R × T/P
Plugging in the values, gives;
V = 0.773 mol × 62.363 mmHg·L·mol⁻¹·K⁻¹ × 425.15 K/(1.23 mmHg) = 16,662.6305405 L
The volume occupied, which is the unknown quantity, V ≈ 16,662.63 L.
