Math

QuestionHow many calories are in 6.55 kJ6.55 \mathrm{~kJ} of energy? Convert to calories: [?] cal.

Studdy Solution

STEP 1

Assumptions1. The energy absorbed by water is6.55 kJ. We know the conversion factor from kilojoules to calories1 kJ =239.006 cal

STEP 2

We need to convert the energy absorbed by water from kilojoules to calories. We can do this using the conversion factor.
Energyincalories=EnergyinkJtimesConversionfactorEnergy\, in\, calories = Energy\, in\, kJ \\times Conversion\, factor

STEP 3

Now, plug in the given values for the energy in kJ and the conversion factor to calculate the energy in calories.
Energyincalories=6.55kJtimes239.006cal/kJEnergy\, in\, calories =6.55\, kJ \\times239.006\, cal/kJ

STEP 4

Calculate the energy absorbed in calories.
Energyincalories=6.55kJtimes239.006cal/kJ=156.2893calEnergy\, in\, calories =6.55\, kJ \\times239.006\, cal/kJ =156.2893\, calThe water absorbs approximately156.29 calories of energy.

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