Will Maynez burns a 0.6-g peanut beneath 50g of water, whichincreases in tempera

Question

Will Maynez burns a 0.6-g peanut beneath 50g of water, whichincreases in temperature from 22C to 50C. (The specific heatcapacity of water is 1.0 ca. * degreesC.)    a.assuming 40% efficiency, show that thepeanut's food value is 3500 calories.    b. then show how the food value in caloriesper gram is 5.8 kcal/g (or 5.8 Calories per gram.) Will Maynez burns a 0.6-g peanut beneath 50g of water, whichincreases in temperature from 22C to 50C. (The specific heatcapacity of water is 1.0 ca. * degreesC.)    a.assuming 40% efficiency, show that thepeanut's food value is 3500 calories.    b. then show how the food value in caloriesper gram is 5.8 kcal/g (or 5.8 Calories per gram.)

Explanation / Answer

The heat absorbed by the water is    m cT = 50 * 1 * (50-22) = 1400calories. . Only 40% of the energy of the peanut was absorbed bythe water so... .      energy absorbed by water = 0.40 * energy of peanut .          1400calories = 0.40 * energy ofpeanut        (divide both sidesby 0.40) .         3500 calories = energy of peanut .    then...     3500 calories /0.6 grams =    5800 calories / gram = 5.8 kcal / gram

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