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Solve the problem. The volume V of a gas varies inversely as the pressure P on it. The volume of a gas is 240 cm3 under a pressure of 23 kg/cm2 What will be its volume under a pressure of 30 kg/cm2?

  • college alegebra -

    In this situation, because of the inverse proportionality,
    P1/P2 = V2/V1
    1 and 2 denote the two different conditions.
    23/30 = V2/240

    Solve for V2, the volume at P2 = 30

  • college alegebra -

    aaaahhhh, now i get it

  • college alegebra -

    however, the options are:

    184, 166, 313, or 297

  • college alegebra -

    I got 313, is this correct?
    (240*30)/23=313

  • college alegebra -

    No, it is 184. You incorrectly rearranged the equation I wrote.

    The volume has to decrease when you increase the pressure.

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