An ice cream has a marked value of 700 , kcal | vedclass

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Question

(A) We know that $1 \, kcal = 1000 \, cal = 4200 \, J$.The conversion factor from Joules to kilowatt-hour $(kWh)$ is $1 \, kWh = 3.6 	imes 10^6 \, J$

Vedclass · Accepted Answer

$0.81$

Vedclass · Answer

(A) We know that $1 \, kcal = 1000 \, cal = 4200 \, J$.The conversion factor from Joules to kilowatt-hour $(kWh)$ is $1 \, kWh = 3.6 	imes 10^6 \, J$.Therefore,$1 \, kcal = \frac{4200}{3.6 	imes 10^6} \, kWh = \frac{4.2 	imes 10^3}{3.6 	imes 10^6} \, kWh = \frac{4.2}{3.6} 	imes 10^{-3} \, kWh \approx 1.166 	imes 10^{-3} \, kWh$.For $700 \, kcal$,the energy in $kWh$ is:$E = 700 	imes \frac{4200}{3.6 	imes 10^6} \, kWh$$E = \frac{2,940,000}{3,600,000} \, kWh$$E = \frac{294}{360} \, kWh = 0.8166... \, kWh$.Rounding to two decimal places,we get $0.81 \, kWh$.

An ice cream has a marked value of $700 \, kcal$. How many kilowatt-hour $(kWh)$ of energy will it deliver to the body as it is digested?

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