QuestionWhen 2.0 g of glucose yields $4.0 \mathrm{kcal}$ , how many kJ does it produce? Include the unit symbol in your answer.

Studdy Solution

STEP 1

Assumptions1. The amount of glucose metabolized is.0 grams. The energy produced from metabolizing.0 grams of glucose is4.0 kcal3. We need to convert kcal to kilojoules4. The conversion factor from kcal to kilojoules is1 kcal =4.184 kJ

STEP 2

First, we need to set up the conversion from kcal to kilojoules using the conversion factor.
$Energy\, in\, kilojoules = Energy\, in\, kcal \\times Conversion\, factor$

STEP 3

Now, plug in the given values for the energy in kcal and the conversion factor to calculate the energy in kilojoules.
$Energy\, in\, kilojoules =.0\, kcal \\times.184\, kJ/kcal$

STEP 4

Calculate the energy in kilojoules.
$Energy\, in\, kilojoules =4.0\, kcal \\times4.184\, kJ/kcal =16.736\, kJ$ The energy produced from metabolizing2.0 grams of glucose is16.736 kilojoules.

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