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Answer :
Final answer:
The equivalent measurements to 5.00 kcal of heat are 20,920 joules (J) and 5,000 calories (cal), as 1 kcal is equal to 1,000 cal, and 1 cal is exactly 4.184 J.
Explanation:
The student's question asks about the equivalent measurements to 5.00 kcal of heat. When converting thermal energy measurements, we use the relationship that 1 calorie (cal) is exactly equivalent to 4.184 joules (J). Since 1 kilocalorie (kcal) is equal to 1000 calories (cal), then 5.00 kcal equates to 5.00 x 1000 cal, which is 5000 cal. Therefore, using the conversion factor, 5000 cal translates to 5000 x 4.184 J which is 20,920 J.
So, the equivalent measurements for 5.00 kcal of heat are:
- 20,920 J (Option a)
- 5.00 x 103 cal, since 1 kcal = 1000 cal (Option d)
Other options do not represent the equivalent amount of heat when properly converted to or from kcal.
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