Question

A researcher studying the nutritional value of a new candy places a 5.40 g sample of the candy inside a bomb calorimeter and combusts it in excess oxygen. The observed temperature increase is 2.74 °C. If the heat capacity of the calorimeter is 38.00 kJ.K-1, how many nutritional Calories are there per gram of the candy?

Calories per gram of candy:_____ Cal/g

Answer 1

Calorimetry is a technique that can be used to determine the nutritional value of a food sample. In this case, a bomb calorimeter is used to measure the heat released by the combustion of a 5.40 g sample of candy. The number of nutritional Calories per gram of the candy is 25.61 Cal/g.

Step-by-step explanation:

Calorimetry is a technique that can be used to determine the nutritional value of a food sample. In this case, a bomb calorimeter is used to measure the heat released by the combustion of a 5.40 g sample of candy. The observed temperature increase is 2.74 °C. The heat capacity of the calorimeter is given as 38.00 kJ/K.

To calculate the nutritional Calories per gram of the candy, we first need to determine the amount of heat released by the combustion. This can be done using the equation q = mcΔT, where q is the heat released, m is the mass of the candy, c is the heat capacity of the calorimeter, and ΔT is the temperature increase.

Using the given data, we can substitute the values into the equation: q = (5.40 g)(38.00 kJ/K)(2.74 °C). Solving for q gives us 558.60 kJ.

To convert kJ to nutritional Calories, we can use the conversion factor 1 Cal = 4.184 kJ. Therefore, the number of nutritional Calories per gram of the candy is 558.60 kJ / 5.40 g * 1 Cal / 4.184 kJ = 25.61 Cal/g.