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 6100 Pa asthe piston moves inward 23.0 cm. (a) Calculate the work done by the gas.
J

(b) If the internal energy of the gas decreasesby 8.20 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 8.20 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 of the gas P = 6100 Pa inward motion of the piston dx = - 23.0 cm. = - 0.23 m (a). work done by the gas W = P dV   where dV= change in volume                                             = PA dx                                              =- 210.45 J (b). decrease in internal energy U = 8.2 J So , U = -8.2 J Amount of heat removed from the system Q = U + W                                                                    = -210.45 J + ( -8.2 J )                                                                    = - 218.65 J here -ve sign indicates heat removed from thesystem

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