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5 April, 21:59

A gas has experienced a small increase in volume but has maintained the same pressure and number of moles. According to the ideal gas law, how has the temperature of the gas changed?

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  1. 5 April, 22:21
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    Temperature has increased

    Ideal Gas Law:

    pressure * volume = (number of moles of gas) * (0.08206) * (temperature)

    or short-hand:

    PV = nRT

    this equation can be transformed to solve for temperature as:

    T = PV / nR

    given there is no change in pressure and the volume of the container has increased, we know the temperature increases because volume is in the numerator--a larger number on top reflects an overall greater number.
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