Energy Conversion: 1000 K cal to kJ
This question requires converting a value from kilocalories (K cal) to kilojoules (kJ).
Understanding the Conversion Factor
The standard conversion factor between calories and joules is fundamental in physics and chemistry. Specifically:
- 1 calorie (cal) = 4.184 joules (J)
- Therefore, 1 kilocalorie (kcal) = 4.184 kilojoules (kJ)
Calculating 1000 K cal in kJ
To find the equivalent of 1000 K cal in kilojoules, we multiply the value in K cal by the conversion factor:
$1000 \text{ K cal} \times 4.184 \frac{\text{kJ}}{\text{K cal}}$
Performing the multiplication:
$1000 \times 4.184 = 4184 \text{ kJ}$
Thus, 1000 K cal is equal to 4184 kJ.
Final Answer Check
Comparing the calculated value with the options:
- Option 1: 4.184 kj - Incorrect
- Option 2: 4184 kj - Correct
- Option 3: 4.184 mj (megajoules) - Incorrect
- Option 4: 41.84 kj - Incorrect
The calculation confirms that 1000 K cal is equal to 4184 kJ.
Important Questions from Units and Measurements
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