Question

If a gas furnace releases 420 kcal of heat energy, what is the energy in kilojoules? (1 cal = 4.184 J)

Answer 1

To convert the energy released by the gas furnace from kilocalories to kilojoules, we can multiply the given energy in kilocalories by the conversion factor of 4.184 J/cal. The energy released by the gas furnace is therefore 1756.88 kilojoules.

Step-by-step explanation:

To convert the energy released by the gas furnace from kilocalories to kilojoules, we can use the conversion factor of 4.184 J = 1 cal. Since we know that 1 kcal = 1000 cal, we can multiply the given energy in kilocalories by 4.184 to get the energy in kilojoules.

Using this conversion, 420 kcal x 4.184 J/cal = 1756.88 J. Therefore, the energy released by the gas furnace is 1756.88 kilojoules.

Answer 2

Answer:
The furnace releases 1757280 J

Step-by-step explanation:
We will do the conversion on two steps:
1- convert the kcal to cal
2- convert the cal to J

Step 1: converting kcal to cal
1 kcal is equivalent to 1000 cal. Therefore:
420 kcal is equivalent to 420*1000 = 420000 cal

Step 2: converting cal to J
We are given that:
1 cal = 4.184 J
Therefore:
420000 cal is equivalent to 420000 * 4.184 = 1757280 J

Hope this helps :)