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9 December, 09:08

0.3 kg air inside 42.9 litres cylinder has a temperature is 31.0°C. The R value for air = 287 J/kg/K. What is the pressure of air inside the cylinder? (k Pascal)

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  1. 9 December, 09:11
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    Pressure = 610.125 kPa

    Explanation:

    Given:

    Mass of the air, m = 0.3 kg

    Volume of the cylinder, V = 42.9 litres = 42.9 * 10⁻³ m³

    R value for the air = 287 J/kg/K

    Temperature, T = 31.0° C = 304 K

    Now,

    we know the ideal gas equation is given as:

    PV=mRT

    where,

    P is the pressure

    on substituting the values, in the above formula

    we get

    P * 42.9 * 10⁻³ = 0.3 * 287 * 304

    or

    P = 610125.87 Pa

    or

    P = 610.125 kPa
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