A 3L sample of an ideal gas at 178 K has a pressure of 0.3 atm. Assuming that the volume is constant, what is the approximate pressure of th

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A 3L sample of an ideal gas at 178 K has a pressure of 0.3 atm. Assuming that the volume is constant, what is the approximate pressure of the gas after it is heated to 278 K?

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Thu Hương 3 years 2021-08-07T07:36:48+00:00 1 Answers 5 views 0

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    2021-08-07T07:38:41+00:00
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    Answer: The approximate pressure of the gas after it is heated to 278 K is 0.468 atm.

    Explanation:

    Given: T_{1} = 178 K,      P_{1} = 0.3 atm

    T_{2} = 278 K,           P_{2} = ?

    According to Gay Lussac law, at constant volume the pressure of a gas is directly proportional to the temperature.

    Formula used to calculate the pressure is as follows.

    \frac{P_{1}}{T_{1}} = \frac{P_{2}}{T_{2}}\\

    Substitute the values into above formula is as follows.

    \frac{P_{1}}{T_{1}} = \frac{P_{2}}{T_{2}}\\\frac{0.3 atm}{178 K} = \frac{P_{2}}{278 K}\\P_{2} = 0.468 atm

    Thus, we can conclude that the approximate pressure of the gas after it is heated to 278 K is 0.468 atm.

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