A gas is enclosed in a container fitted with a piston ofcross-sectional area 0.1

Question

A gas is enclosed in a container fitted with a piston ofcross-sectional area 0.150 m2. The pressure of the gasis maintained at 6500 Pa as the pistonmoves inward 19.0 cm. (a) Calculate the work done by thegas.
1 J

(b) If the internal energy of the gas decreases by 6.80 J, find the amount of heat removed from thesystem by heat during the compression.
2 J (a) Calculate the work done by thegas.
1 J

(b) If the internal energy of the gas decreases by 6.80 J, find the amount of heat removed from thesystem by heat during the compression.
2 J

Explanation / Answer

(a). work done by gas W = P dv                                         = P A dx where P = pressure = 6500 Pa            A= area = 0.150 m ^ 2          dx = 19 cm =- 0.19 m So, W = - 185.25 J (b). decrease in internal energy U = -6.8 J So, heat removed from the system Q = U + W                                                         = - 192.05 J here -ve sign indicates heat is removed

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