The quantity of heat Q released or absorbed from a substance of specific heat capacity c (which can be expressed in units cal/g • °C or J/kg • °C) and mass m (in g or kg), undergoing a change in temperature ΔT is Q = cmΔT. Will Maynez burns a 0.6-g peanut beneath 50 g of water, which increases in temperature from 22°C to 50°C. (The specific heat capacity of water is 1.0 cal/g • °C.) (a) Assuming 40% efficiency, show that the peanut’s food value is 3500 cal. (b) Then show how the food value in calories per gram is 5.8 kcal/g (or 5.8 Cal/g).
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