A Circular Window in the Wall of a Home Has $25 \mathrm{~cm}$

A circular window in the wall of a home has a diameter of $25 \mathrm{~cm}$ and is made of a single pane of glass 0.30 $\mathrm{cm}$ thick. The thermal conductivity for the glass is $0.63 \mathrm{~W} /(\mathrm{m} \cdot \mathrm{K})$ . If $1.6 \mathrm{~kJ}$ of heat is lost through the window in $12 \mathrm{~s}$ , and if inside the house the temperature is $20^{\circ} \mathrm{C}$ , what is the outside temperature?

A) $17^{\circ} \mathrm{C}$
B) $-12{ }^{\circ} \mathrm{C}$
C) $18^{\circ} \mathrm{C}$
D) $-17^{\circ} \mathrm{C}$
E) $7.1^{\circ} \mathrm{C}$