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The volume of a gas varies vvaries inversely as the pressure p and directly as the temperature t.

a) Write an equation to represent the volume of a gas in terms of pressure and temperature.
b) Is your equation a direct, joint, inverse, or combined variation?
c) A certain gas has a volume of 8 liters, a temperature of 275 Kelvin, and a pressure of 1.25 atmospheres. If the gas is compressed to a volume of 6 liters and is heated to 300 Kelvin, what will the pressure be? (show your complete solution)

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  1. V = k(t/p) , where k is a constant ,

    for your data,
    8 = k(275/1.25)
    k = 2/55

    V = (2/55)(t/p)

    when V = 6, t = 300, p = ?

    sub your values into the equation to find p

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