Please help ?

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  • DWRead
    Lv 7
    2 weeks ago

    You don't need to convert the units to SI, but I always do.

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  • P * V = n * R * T

    That's the ideal gas equation.  Since we're treating n and R as constants, we can rewrite this:

    P * V / T = n * R

    P * V / T = k

    P[1] * V[1] / T[1] = k

    P[2] * V[2] / T[2] = k

    therefore

    P[1] * V[1] / T[1] = P[2] * V[2] / T[2]

    This is the combined gas law.

    P[1] = 3 * 10^4 atm

    P[2] = 3 * 10^(-3) atm

    V[1] = 6 * 10^(-4) cm^3

    V[2] = ?

    T[1] = 90 Kelvins

    T[2] = 3 Kelvins

    If we make sure that the unknown volume is in cubic centimeters, then we can forego the units, for the sake of simplicity.

    3 * 10^4 * 6 * 10^(-4) / 90 = 3 * 10^(-3) * V / 3

    (18/90) * 10^(4 - 4) = (3/3) * 10^(-3) * V

    (1/5) * 10^(0) = 1 * 10^(-3) = V

    (1/5) * 10^3 = V

    1000/5 = V

    200 = V

    200 cubic cm, or in scientific notation 2 * 10^(2) cm^3

  • 2 weeks ago

    yes yes yessity yes yes yes

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