QuestionConvert 438 joules to kilocalories. What is the energy in kilocalories with the correct unit symbol?

Studdy Solution

STEP 1

Assumptions1. The energy output of the defibrillator is438 joules. . We need to convert this energy from joules to kilocalories.
3. The conversion factor from joules to calories is1 cal =4.184 J.
4. The conversion factor from calories to kilocalories is1 kcal =1000 cal.

STEP 2

First, we need to convert the energy from joules to calories. We can do this by dividing the energy in joules by the conversion factor.
$Energy\, in\, calories = Energy\, in\, joules / Conversion\, factor$

STEP 3

Now, plug in the given values for the energy in joules and the conversion factor to calculate the energy in calories.
$Energy\, in\, calories =438\, J /.184\, J/cal$

STEP 4

Calculate the energy in calories.
$Energy\, in\, calories =438\, J /4.184\, J/cal =104.7\, cal$

STEP 5

Now that we have the energy in calories, we can convert this to kilocalories. We can do this by dividing the energy in calories by the conversion factor.
$Energy\, in\, kilocalories = Energy\, in\, calories / Conversion\, factor$

STEP 6

Plug in the values for the energy in calories and the conversion factor to calculate the energy in kilocalories.
$Energy\, in\, kilocalories =104.\, cal /1000\, cal/kcal$

STEP 7

Calculate the energy in kilocalories.
$Energy\, in\, kilocalories =104.7\, cal /1000\, cal/kcal =0.105\, kcal$ The energy output of the defibrillator is0.105 kilocalories.

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