High School

Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ 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.