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ChemistryChemistry
11 November, 05:40

A scuba tank of fixed volume is originally at a pressure of 50.0 atm and a temperature of 390 K. When it is placed near a fire pit in Eddie's yard, the temperature rises to 450 K. What is the new pressure of gas in the tank?

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  1. 11 November, 05:56
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    The new pressure of the gas is 57.69atm

    Explanation:

    P1 = 50 atm

    T1 = 390K

    T2 = 450K

    P2 = ?

    This problem requires pressure law.

    Pressure law states that the pressure of a fixed mass of gas is directly proportional to its temperature provided volume remains constant.

    Mathematically,

    P = kT, k = P / T

    P1 / T1 = P2 / T2 = P3 / T3 ... Pn / Tn

    P1 / T1 = P2 / T2

    Solve for P2,

    P2 = (P1 * T2) / T1

    P2 = (50 * 450) / 390

    P2 = 57.69atm

    The new pressure of the gas is 57.69atm
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Home » Chemistry » A scuba tank of fixed volume is originally at a pressure of 50.0 atm and a temperature of 390 K. When it is placed near a fire pit in Eddie's yard, the temperature rises to 450 K. What is the new pressure of gas in the tank?
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