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27 February, 05:27

A 1 mol sample of gas has a temperature of 225K, a volume of 3.3L, and a pressure of 500 torr. What would the temperature be if the amount of gas remains constant while pressure dropped to 210 torr, and the volume dropped to 2.75L?

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  1. 27 February, 05:47
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    78.75 K

    Explanation:

    We are given;

    Initial pressure, P₁ = 500 torr Initial temperature, T₁ = 225 K Initial volume, V₁ = 3.3 L Final volume, V₂ = 2.75 L Final pressure, P₂ = 210 torr

    We are required to calculate the new temperature, T₂

    To find the new temperature, T₂ we are going to use the combined gas law; According to the combined gas law;

    P₁V₁/T₁ = P₂V₂/T₂

    We can calculate the new temperature, T₂;

    Rearranging the formula;

    T₂ = (P₂V₂T₁) : (P₁V₁)

    = (210 torr * 2.75 L * 225 K) : (500 torr * 3.3 L)

    = 78.75 K

    Therefore, the new volume of the sample is 78.75 K
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