A sample of an ideal gas is taken through the cyclic process abca as shown in the figure. The change in the internal energy of the gas along the path ca is –180 J. The gas absorbs 250 J of heat along the path ab and 60 J along the path bc. The work done by the gas along the path abc is :

a) |
130 J |
b) |
100 J |

c) |
140 J |
d) |
120 J |

A sample of an ideal gas is taken through the cyclic process abca as shown in the figure. The change in the internal energy of the gas along the path ca is –180 J. The gas absorbs 250 J of heat along the path ab and 60 J along the path bc. The work done by the gas along the path abc is :

a) |
130 J |
b) |
100 J |

c) |
140 J |
d) |
120 J |

1 Answer

127 votes

For the process (c − a), U_{ca} = – 180 J

For process (b − c) → Isochoric (W_{bc} = 0)

U = 60 J

Heat absorbs along (a – b), Q_{ab} = 250 J

Also Ucycle = 0

U_{ab} = 120 J

So W_{a → b} = 130 J

Total work done from (a → b → c)

= W_{ab} + W_{bc} = 130 J

127 votes

127