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Show that entropy is a property of system.
written 7.8 years ago by | • modified 7.8 years ago |
Mumbai university > MECH > SEM 3 > THERMO
Marks: 4M
Year: Dec 2013
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written 7.8 years ago by | • modified 7.8 years ago |
Mumbai university > MECH > SEM 3 > THERMO
Marks: 4M
Year: Dec 2013
written 7.8 years ago by |
$$\int_{1-A-2}\frac{∂Q}{T} + \int_{2-B-1}\frac{∂Q}{T} = 0$$
For a reversible cycle 1-A-2-C-1: $$\int_{1-A-2}\frac{∂Q}{T} + \int_{2-C-1}\frac{∂Q}{T} = 0$$
Therefore $$\int_{2-B-1}\frac{∂Q}{T} = \int_{2-C-1}\frac{∂Q}{T} $$
Hence, $\int\frac{∂Q}{T}$ is a definite quantity independent of the path followed for the change and depend only upon the initial and the final states of the system.
Hence entropy is a property.