A) \[{{10}^{5}}\,cal\]
B) \[{{10}^{4}}\,cal\]
C) \[{{10}^{3}}\,cal\]
D) \[5\,\,\times \,\,{{10}^{3}}\,cal\]
Correct Answer: B
Solution :
From FLOT \[\Delta Q=\Delta U+\Delta W\] Work done at constant pressure \[{{\left( \Delta W \right)}_{P}}={{\left( \Delta Q \right)}_{P}}-\Delta U\] \[{{(\Delta Q)}_{P}}-\,\,{{(\Delta Q)}_{V}}\,(As\text{ }we\text{ }know{{\left( \Delta Q \right)}_{V}}=\Delta U)\] \[Also\,\,{{\left( \Delta Q \right)}_{P}}=m{{c}_{P}}\Delta T\,\,and\,\,{{(\Delta Q)}_{V}}=m{{c}_{V}}\Delta T\] \[\Rightarrow \,\,\,\,{{(\Delta W)}_{P}}=\,\,m\left( {{c}_{P}}-{{c}_{V}} \right)\Delta T\] \[\Rightarrow \,\,\,\,\,{{\left( \Delta W \right)}_{P}}=1\times (3.4\times 1{{0}^{3}}-2.4\times {{10}^{3}})\times 10\] \[=\,\,\,\,{{10}^{4}}\,cal\]You need to login to perform this action.
You will be redirected in
3 sec