A gas in a sealed container has a pressure of 50 kPa at 27°C. What will the pressure of the gas be if the temperature rises to 87°C?

Question

A gas in a sealed container has a pressure of 50 kPa at 27°C. What will the pressure of the gas be if the temperature rises to 87°C?

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Vodka 3 days 2021-07-19T16:46:11+00:00 1 Answers 4 views 0

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    2021-07-19T16:47:57+00:00

    Answer:

    the final pressure of the gas is 60 kPa.

    Explanation:

    Given;

    initial pressure of the gas, P₁ = 50 kPa = 50,000 Pa

    initial temperature of the gas, T₁ = 27⁰ C = 27 + 273 = 300 k

    final temperature of the gas, T₂ = 87⁰ C = 87 + 273 = 360 K

    Let the final pressure of the gas = P₂

    Apply pressure law;

    \frac{P_1}{T_1} = \frac{P_2}{T_2} \\\\P_2 = \frac{P_1T_2}{T_1} = \frac{50,000 \times 360}{300}  = 60,000 \ Pa = 60 \ kPa

    Therefore, the final pressure of the gas is 60 kPa.

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