High School

Which of the following measurements is equivalent to 5.00 kcal of heat? Check all that apply.

A. 20,900 J
B. 1.20 kJ
C. 5.00 x [tex]10^3[/tex] cal
D. 5.00 x [tex]10^3[/tex] cal

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.