A) \[{{Q}_{1}}>{{Q}_{2}}>{{Q}_{3}}\]and\[\Delta {{U}_{1}}=\Delta {{U}_{2}}=\Delta {{U}_{3}}\]
B) \[{{Q}_{3}}>{{Q}_{2}}>{{Q}_{1}}\]and\[\Delta {{U}_{1}}=\Delta {{U}_{2}}=\Delta {{U}_{3}}\]
C) \[{{Q}_{1}}={{Q}_{2}}={{Q}_{3}}\]and\[\Delta {{U}_{1}}>\Delta {{U}_{2}}>\Delta {{U}_{3}}\]
D) \[{{Q}_{3}}={{Q}_{2}}={{Q}_{1}}\]and\[\Delta {{U}_{1}}>\Delta {{U}_{2}}>\Delta {{U}_{3}}\]
Correct Answer: A
Solution :
For all process 1, 2 and 3 \[\Delta U={{U}_{B}}-{{U}_{A}}\]is the same \[\therefore \,\]\[\Delta {{U}_{1}}=\Delta {{U}_{2}}=\Delta {{U}_{3}}\] Now, \[Q=\Delta U+W\] Now,\[W=\]done by the gas \[\therefore \,\] \[{{Q}_{1}}>{{Q}_{2}}={{Q}_{3}}\]You need to login to perform this action.
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