Kiro asked in Science & MathematicsPhysics · 2 months ago

A cylinder with a frictionless piston of diameter 10cm is filled with 0.15 m3 of air at 550K.ideal gas question help?

Heat is slowly added until its final temperature raises to 770K.Assuming that g = 9.81 m/s2, the frictionless piston carries a load of 79kg and the atmospheric pressure is 1.0132 x 105 Pa, find the work done (in kJ) by the air?

Topic:ideal gas please help! :(

Update:

sorry i meant 1.0132 x 10^5 pa

2 Answers

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  • NCS
    Lv 7
    2 months ago
    Favorite Answer

    pV = nRT

    so when p, n and R constant, V/T is constant.

    so 0.15m³ / 550K = V / 770K → new V = 0.21 m³

    pressure due to piston

    p₀ = mg / A = 4mg / πd²

    p₀ = 4 * 79kg * 9.81m/s² / π(0.10m)² = 9.8674e4 Pa

    The pressure is constant, so the work done by the gas is

    (1.0132e5 + 9.8674e4)Pa * (0.21 - 0.15)m³ = 1.20e4 J

    or 12.0 kJ.

    The work done by the air is the negative of this -- -12.0 J.

    If you find this helpful, please select Favorite Answer!

  • 2 months ago

    1.0132 x 105 Pa ?? what does this mean ?

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