During the combustion of a peanut that weighed 0.341 g, the temperature of the 100 ml of water in the calorimeter rose from 23.4ºc to 37.9ºc. the peanut didn't burn completely. if the serving size is 28.0 grams of peanuts, what is the cal from fat per serving (cal/serving)?

select one:

46.2 cal/serving 1

19 cal/serving

28.5 cal/serving

138 cal/serving

119 kCal per serving.

Explanation:

The heat energy necessary to elevates water's temperature from 23.4°C to 37.9°C can be calculated by the equation below:

Q = mcΔT

Q: heat energy

m: mass in g

c: specific heat capacity in cal/g°C

ΔT = temperature variation in °C

m is the mass of water, considering the density of water to be 1g/mL, 100 mL of water weights  100g. Therefore:

Q = 100 g x 1.00 cal/g°C x (37.9 - 23.4)°C

Q = 1450 cal

1450 cal 0.341 g peanuts

x              28 g peanuts

x = 119061.58 cal

This means that the cal from fat per serving of peanuts is at least 119 kCal.