Respuesta :

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.

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