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20 November, 04:05

One mole of an ideal gas does 2100 J of work as it expands isothermally to a final pressure 1.00 x 10^5Pa and volume of 0.025m^3A) what was the initial volume of the gas, in cubic meters? B) what is the temperature of the gas, in kelvin?

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  1. 20 November, 04:15
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    (A) 0.004 m^3

    (B) 48.11 K

    Explanation:

    Work, W = 2100 J

    Pressure, P = 1 x 10^5 Pa

    V2 = 0.025 m^3

    (A) let the initial volume of the gas is V1.

    W = P (V2 - V1)

    2100 = 1 x 10^5 (0.025 - V1)

    0021 = 0.025 - V1

    V1 = 0.025 - 0.021

    V1 = 0.004 m^3

    Thus, the initial volume of the gas is 0.004 m^3.

    (B) Let the temperature of the gas is T

    Use ideal gas equation

    P1 x V1 = n x R T

    1 x 10^5 x 0.004 = 1 x 8.314 x T

    T = 48.11 K

    Thus, the initial temperature of the gas is 48.11 K.
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