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Chem

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a container of 2.00 moles of an ideal gas as 1000 K undergoes a constant pressure and volume process in which the number of moles is increased to 5moles. what is the final temperature of the gas.

How do I start this? Do I somehow use the ideal gas law?

  • Chem -

    Use PV=nRT

    so R=P1V1/n1T1

    and R=P1V1/n2T2

    R=P1V1/n1T1=P1V1/n2T2

    n1T=n2T2

  • Chem -

    I got the answer to be 400. But can you explain to me those formulas? I'm still a bit confuse on how you got them. Where do these P1 and P2 and T1 and T2 come from

  • Chem -

    The original formula is

    PV=nRT

    for the question given we have a set of starting conditions

    P=P1
    V=V1
    n=n1
    T=T1

    hence

    P1 x V1=n1 x R x T1

    which rearranges to

    R=P1V1/n1T1

    the second set of conditions is

    P=P1
    V=V1
    (because P1 and V1 are constant in the question)
    T=T2
    N=n2

    so

    R=P1V1/n2T2

    as R is the same in both cases

    R=P1V1/n1T1=P1V1/n2T2

    which rearranges to

    n1T=n2T2

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