What pressure must be applied to keep a gas at 750 torr and 300 K at a constant volume of 200 mL if the temperature is raised to 450 K?

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What pressure must be applied to keep a gas at 750 torr and 300 K at a constant volume of 200 mL if the temperature is raised to 450 K?

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Neveah Joseph · Answer 1

To solve this we assume that the gas is an ideal gas. Then, we can use the ideal gas equation which is expressed as PV = nRT. At a constant volume and number of moles of the gas the ratio of T and P is equal to some constant. At another set of condition, the constant is still the same. Calculations are as follows:

T1/P1 = T2/P2

P2 = T2 x P1 / T1

P2 = 450 (750) / 300

P2 = 1125 torr