A chemical reaction gives off 1,500 kJ of heat energy. About how many calories is this? (1 calorie = 4.18 Joules)
First you need to convert kiloJoules to Joules
1 kJ is 1000 J
1500kJ 1000J == 1500000 J
Then 1500000J 1Cal/4.18 J == 358851.6746 calories
Answer : The heat energy in calorie is \(3.59\times 10^5\text{ Calorie}\)
Explanation :
As we are given the conversion for heat energy.
\(1\text{ Calorie}=4.18\text{ Joules}\)
or,
\(1\text{ Joules}=\frac{1}{4.18}\text{ Calorie}\)
As we are given that:
Heat energy in kJ = 1500 kJ = 1500000 J
conversion used : (1 kJ = 1000 J)
Now we have to determine the heat energy in calorie.
As, \(1\text{ Joules}=\frac{1}{4.18}\text{ Calorie}\)
So, \(1500000\text{ Joules}=\frac{1500000\text{ Joules}}{4.18\text{ Joules}}\text{ Calorie}=3.59\times 10^5\text{ Calorie}\)
Therefore, the heat energy in calorie is \(3.59\times 10^5\text{ Calorie}\)