ThermodynamicsHard
Question
A cup of water at $5^{\circ}C$ (system) is placed in a microwave oven and the oven is turned on for one minute during which, the water begins to boil. Which of the following option is true?
Options
A.$q = + ve,w = 0,\Delta U = - ve$
B.$q = + ve,w = - ve,\Delta U = + ve$
C.$q = - ve,w = - ve,\Delta U = - ve$
D.$q = + ve,w = - ve,\Delta U = - ve$
Solution
$\ \underset{5^{\circ}C}{H_{2}O(\mathcal{l})} \longrightarrow \underset{100^{\circ}C}{H_{2}O(\mathcal{l})} \rightleftarrows \underset{\begin{matrix} 100^{\circ}C \\ H_{2}O(g) \end{matrix}}{\ }$
due to expansion
$$w = - ve $$as heat is given to system so $q = + ve$ and internal energy of gas will be more than internal energy of liquid so $\Delta U = + ve$
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