Directions : In the following question more than one of the answers given may be correct. Select the correct answer and mark it according to the code:
A cyclic process is completed by processes 1 and 2.\[\Delta Q\]and\[\Delta W\]represent heat supplied and the work done.\[\Delta {{U}_{1}}\]and\[\Delta {{U}_{2}}\]are changes in internal energies in the two processes respectively. Then (1) \[\Delta {{U}_{1}}=-\Delta {{U}_{2}}\] (2)\[\Delta {{U}_{1}}=\Delta {{U}_{2}}\] (3) \[\Delta Q=\Delta W\] (4)\[\Delta Q=-\Delta W\]A) 1, 2 and 3 are correct
B) 1 and 2 are correct
C) 2 and 4 are correct
D) 1 and 3 are correct
Correct Answer: D
Solution :
For a cyclic process, \[\Delta U=\Delta {{U}_{1}}+\Delta {{U}_{2}}=0,\]or\[\Delta {{U}_{1}}=-\Delta {{U}_{2}}\] From relation\[\Delta Q=\Delta U+\Delta W\] As \[\Delta U=0,\] hence, \[\Delta Q=\Delta W\]
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