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Darya
3 months ago
12

If the balloon described in Question 10.24 is released into the air and rises to an altitude of 10,000 ft where the atmospheric

pressure is 523 torr and the temperature is 7.50ºC, then what is its new volume, in L?
Chemistry
1 answer:
castortr0y [3K]3 months ago
3 0

The new volume will be 33.5 L.

Explanation:

The kinetic theory of gases indicates that the space occupied by gas molecules is directly proportional to their temperature while being inversely proportional to the pressure. Assuming the number of moles is n = 1, the equation for gases can be written as:

PV = nRT

In this equation, P stands for pressure, V represents volume, R is the gas constant, and T denotes temperature.

Given that P = 523 Torr, T = 7.50 °C = 7.50 + 273.15 = 280.65 K, and the gas constant R = 62.363 Torr L mol⁻¹K⁻¹.

523*V = 1 * 62.363*280.65 \\\\V = 33.5 L

Consequently, the new volume will be 33.5 L.

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