Explanation:
Calories are the amount of energy stored in food and are the specific amount of energy required to reuse a kilogram of water by 1°C. These calories within food are obtained from nutrients in food which have been converted into energy molecules called ATP. This is essential, and is produced through several complex pathways in the body during the process of cellular respiration and is crucial to survival of cells, tissues, organs and organisms.
Converting the provided temperatures to absolute temperatures:
[tex]t= \frac{Q}{P net}[/tex]
[tex]t= \frac{Q}{eoA ( T^{4} -T_{0} ^{4}} )[/tex]
where...
[tex] Q= 260 Calories(\frac{ ( 4186 J)}{ 1 Calorie}[/tex]
[tex]T[/tex]= 36 °C + 273= 309 K
[tex]T_{0}[/tex]17 °C + 273= 290 K
ΔT=[tex]T^{4} - T_{0}^{4}[/tex] = 1.645 x 10^9 K^4
[tex]t= \frac{260 Calories(\frac{ ( 4186 J)}{ 1 Calorie}} {(0.75) [5.67 x 10^-8 J/ (s.m^2. K^2)](1.3m^2) ( 2.043^9 K^4)}[/tex]
[tex]t= 9.636 * 10^{3}[/tex] seconds (time taken for her to emit a net radiant energy equal to the energy in the dessert)
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