A gas can be taken from A to B via two different processes ACB and ADB. |
[JEE Main 09-Jan-2019 Morning] |
When path ACB is used 60 J of heat flows into the system and 30 J of work is done by the system. If path ADB is used work done by the system is 10 J. The heat Flow into the system in path ADB is: |
A) 40 J
B) 20 J
C) 100 J
D) 80 J
Correct Answer: A
Solution :
[a] |
For Path ACB |
\[Q\text{ }=\text{ }60\text{ }J\] |
\[W\text{ }=\text{ }30\text{ }J\] |
\[\because \,\,\,\,Q\text{ }=\text{ }U\text{ }+\text{ }W\] |
\[\Rightarrow \,\,\,U\text{ }=\text{ }30\text{ }J\] |
Now, \[{{U}_{ACB}}\,\,=\,\,{{U}_{ADB}}\,\,=\,\,30\text{ }J\] |
For Path ADB:- |
\[U\,\,\,=\,\,30\text{ }J\] |
\[W=10\,J\] |
\[\Rightarrow \,\,\,Q=U+W=40\,J\] |
Option [a] is correct. |
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