To convert the heat released from calories to joules, we use the conversion factor between calories and joules:
1 calorie is equivalent to 4.184 joules.
Given:
- The amount of heat released, [tex]\( Q \)[/tex], is 24,800 calories.
To find the equivalent energy in joules, we multiply the given calories by the conversion factor:
[tex]\[
Q \, \text{(in joules)} = Q \, \text{(in calories)} \times \text{Conversion factor (joules per calorie)}
\][/tex]
Substituting the given values:
[tex]\[
Q \, \text{(in joules)} = 24,800 \, \text{cal} \times 4.184 \, \frac{\text{joules}}{\text{cal}}
\][/tex]
Multiplying these values:
[tex]\[
Q \, \text{(in joules)} = 24,800 \times 4.184
\][/tex]
[tex]\[
Q \, \text{(in joules)} = 103,763.2 \, \text{joules}
\][/tex]
Therefore, the quantity of heat released, 24,800 calories, is equivalent to 103,763.2 joules.
