A 100-W lightbulb is placed in a cylinder equipped with a moveable piston. The lightbulb is turned on for 0.020 h, and the assembly expands from an initial volume of 0.90 L to a final volume of 5.88 L against an external pressure of 1.0 atm. calculate work done

Question

Melody Davenport

Chemistry

26 June, 09:19

A 100-W lightbulb is placed in a cylinder equipped with a moveable piston. The lightbulb is turned on for 0.020 h, and the assembly expands from an initial volume of 0.90 L to a final volume of 5.88 L against an external pressure of 1.0 atm. calculate work done

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Judith Mooney · Answer 1

Answer: The workdone W = 505J

Explanation:

Applying the pressure-volume relationship

W = - PΔV

Where negative sign indicates the power is being delivered to the surrounding

W = - 1.0atm * (5.88 - 0.9) L

= - 1.0atm * (4.98)

W = - 4.98 atmL

Converting to Joules

1atmL = 101.325J

-4.98atmL = x joules.

Work done in J = - 4.98 * 101.325

W = - 505J

Therefore the workdone is - 505J