(Derivatives) Boyle’s Law states that when a sample of gas is compressed at a constant temperature,?

Boyle’s Law states that when a sample of gas is compressed at a constant temperature, the resulting pressure P of the gas is inversely proportional to its volume V

a) A sample of gas in a container is steadily compressed at constant temperature to a volume of 30

cubic centimeters (cm3), and its resulting pressure is 75 kilopascals (kPa). Find the equation that gives the pressure P of the gas as a function of its volume V .

b) Determine the rate at which the pressure changes when the gas is compressed to 10 cm3.

1 Answer

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  • Mike G
    Lv 7
    4 years ago
    Best Answer

    a) P = k/V

    75 = k/30

    k = 2250

    P = 2250/V

    b) dP/dV = -2250/V^2

    dP/dV = -2250/100 = -22.5 kPa/cm^3

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