1. A food sample is burned in a calorimeter that contains 2000. g of water. The temperature
increases from 22.0°C to 44.3 °C. How many Calories does the food sample contain, assuming
all of the energy from the food was transferred into the water?

86606 calories of energy was transferred from the 2000gm of food into the water.

Explanation:

1 kilocalorie of energy is required to  raise 1 degree of  temperature increase. in 1 kg of water.

It is also said that amount of energy or heat released in food combustion is equal to the heat absorbed by water in the combustion chamber.

1 kilocalorie=4.184 kJ

Amount of water =2000g or 2 kg

Temperature change= 44.3-22 degree celsius

                                    = 22.3 degree celsius

2kg*22.3= 44.6 Kilocalorie of energy input.

equation to calculate the energy in calories

q=mc(change in temperature)

specific heat capacity of water is 4.184

  = 2*4.184*22.3

q  = 186.60 Kj

To convert into gm

186.60*1000

= 186606 calories of energy was transferred from the 2000gm of food into the water.

93.2 ml + 3920 ml = 4013 ml total  

(93.2 ml) * (2.03 m) / (4013 ml) = 0.0471 m

the volume in in l of the diluted solution would be 0.0471 m.

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