A system undergoes a cycle consisting of three processes. | ||||||||||||||||
Process involved are listed as, | ||||||||||||||||
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A) \[200\text{ }kJ,\text{ }50\text{ }kJ,\text{ }100\text{ }kJ,\text{ }300\text{ }kJ\]
B) \[200\text{ }kJ,\text{ }50\text{ }kJ,\text{ }300\text{ }kJ,\text{ }100\text{ }kJ\]
C) \[50\text{ }kJ,\text{ }100\text{ }kJ,\text{ }200\text{ }kJ,\text{ }300\text{ }kJ\]
D) \[300\text{ }kJ,\text{ }200\text{ }kJ,\text{ }200\text{ }kJ,\text{ }50\text{ }kJ\]
Correct Answer: A
Solution :
From first law of thermodynamics, |
we have, \[\Delta Q-\Delta W=\Delta E\] |
Applied to process \[1\to 2\] we get |
\[a-100=100\Rightarrow a=200KJ\] |
For process \[3\to 1\], |
\[100-d=-200\] |
\[d=300KJ\] |
For entire cycle, \[\sum Q=\sum W\]\[\Rightarrow \,\,\,200+b+100=350\Rightarrow b=50KJ\] |
For a cyclic process, \[\sum \Delta U=0\]\[\Rightarrow 100+c-200=0\]\[\Rightarrow \,\,\,\,\,\,\,\,\,\,c=100KJ\] |
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