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 6600 Pa asthe piston moves inward 20.5 cm. (a) Calculate the work done by the gas.
J

(b) If the internal energy of the gas decreasesby 6.80 J, find the amountof heat removed from the system by heat during the compression.
J
(a) Calculate the work done by the gas.
J

(b) If the internal energy of the gas decreasesby 6.80 J, find the amountof heat removed from the system by heat during the compression.
J

Explanation / Answer

cross-sectional area A = 0.150 m2 The pressure P = 6600 Pa compression distance dx = 20.5 cm. = 0.205 m So, change in volume dV = A dx                                        = 0.03075 m ^ 3 work done W = P dV                       = 202.95 J (b). decrese in internal energy U = -6.8 J heat removed from the system Q = U + W                                                   = 196.15 J The pressure P = 6600 Pa compression distance dx = 20.5 cm. = 0.205 m So, change in volume dV = A dx                                        = 0.03075 m ^ 3 work done W = P dV                       = 202.95 J (b). decrese in internal energy U = -6.8 J heat removed from the system Q = U + W                                                   = 196.15 J

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