How much energy is given off if 2.5 x 10^5 ml of water is heated from 21c to 40c by burning 10 grams of sugar?
What is the fuel value on the sugar?
To find the amount of energy released from burning sugar, we need to know the fuel value of sugar. The fuel value represents the amount of energy released per gram of substance. In this case, we need to find the fuel value for sugar.
The fuel value of sugar is usually measured in calories per gram (cal/g) or joules per gram (J/g). One commonly used fuel value for sugar is approximately 16.7 J/g or 4 calories per gram (4 cal/g).
Given that you have 10 grams of sugar, we can calculate the total energy released during combustion:
Energy released = Fuel value of sugar x Mass of sugar
Energy released = 16.7 J/g (or 4 cal/g) x 10 g
Please note that the value of the fuel value may vary depending on the type and purity of the sugar being burned. However, for this calculation, we will assume the commonly used value of 16.7 J/g or 4 cal/g.
Now, let's move on to the second part of your question: the amount of energy required to heat the water.
To calculate the amount of energy required to heat the water, we need to use the specific heat capacity of water. The specific heat capacity of water is approximately 4.18 J/g°C or 1 calorie per gram per degree Celsius (1 cal/g°C).
To find the energy required to heat the water, we can use the following formula:
Energy required = specific heat capacity x mass of water x temperature change
Energy required = 4.18 J/g°C (or 1 cal/g°C) x 2.5 x 10^5 g x (40°C - 21°C)
Now that we have calculated both the energy released from burning sugar and the energy required to heat the water, we can find the total energy.
Total energy = Energy released - Energy required
Please plug in the given values and perform the calculations to find the specific answer.