A sample of a gas at 15°C and 2.50 atm pressure has a volume of 4.5 L. The pressure is lowered to 0.85 atm and the volume decreases to 2.5 L

Question

A sample of a gas at 15°C and 2.50 atm pressure has a volume of 4.5 L. The pressure is lowered to 0.85 atm and the volume decreases to 2.5 L. What is the final temperature of the gas in K.

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Gia Bảo 4 years 2021-07-18T12:01:00+00:00 1 Answers 11 views 0

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  1. Acacia
    0
    2021-07-18T12:02:43+00:00
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    Given:

    P_{1} = \text{2.50 atm}

    T_{1} = 15^{\circ}\text{C + 273 = 288 K}

    V_{1} = \text{4.5 L}

    P_{2} = \text{0.85 atm}

    V_{2} = \text{2.5 L}

    Unknown:

    T_{2}

    Solution:

    \dfrac{P_{1}V_{1}}{T_{1}} = \dfrac{P_{2}V_{2}}{T_{2}}

    T_{2} = T_{1} \times \dfrac{P_{2}}{P_{1}} \times \dfrac{V_{2}}{V_{1}}

    T_{2} = \text{288 K} \times \dfrac{\text{0.85 atm}}{\text{2.50 atm}} \times \dfrac{\text{2.5 L}}{\text{4.5 L}}

    \boxed{T_{2} = \text{54.4 K}}

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