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26 September, 11:04

What pressure (in atm) will a sample of o2 gas occupy at 100.0 ml, if o2 has a volume of 25.00 ml at 2.0 atm?

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  1. 26 September, 11:15
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    Assuming that the O2 gas acts like an ideal gas, we find the following expression to be approximates of the behaviour of this gas:

    P V = n R T - - - > 1

    where,

    P = pressure exerted by the gas

    V = volume occupied

    n = number of moles

    R = universal gas constant

    T = absolute temperature

    Further, we assume that the number of moles and the temperature are constant, hence reducing equation 1 into the form:

    P V = k - - - > 2

    where k is a constant. Therefore we can equate two states:

    P1 V1 = P2 V2

    Since P1, V1 and V2 are given and we are to look for P2:

    25 mL * 2 atm = 100 mL * P2

    P2 = 0.5 atm
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