Questions: Complete the following table. Round each of your answers to 3 significant digits. food energy content when eaten ------------ cal kcal kJ a kiwi fruit 4.50 x 10^4 450. a corn muffin 145. three ounces of cooked sirloin steak 1.00 x 10^3

Complete the following table. Round each of your answers to 3 significant digits.

 food  energy content when eaten 
------------
   cal  kcal  kJ 
 a kiwi fruit  4.50 x 10^4  450.   
 a corn muffin    145.   
 three ounces of cooked sirloin steak      1.00 x 10^3
Transcript text: Complete the following table. Round each of your answers to 3 significant digits. \begin{tabular}{|l|c|c|c|} \hline \multirow{2}{*}{ food } & \multicolumn{3}{|c|}{ energy content when eaten } \\ \cline { 2 - 4 } & cal & kcal & kJ \\ \hline a kiwi fruit & $4.50 \times 10^{4}$ & 450. & $\square$ \\ \hline a corn muffin & $\square$ & 145. & $\square$ \\ \hline \begin{tabular}{l} three ounces of cooked sirloin \\ steak \end{tabular} & $\square$ & $\square$ & $1.00 \times 10^{3}$ \\ \hline \end{tabular}
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Solution

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Solution Steps

Step 1: Convert kcal to kJ for a kiwi fruit

To convert kilocalories (kcal) to kilojoules (kJ), use the conversion factor: \(1 \, \text{kcal} = 4.184 \, \text{kJ}\).

For a kiwi fruit: \[ 450 \, \text{kcal} \times 4.184 \, \text{kJ/kcal} = 1883.8 \, \text{kJ} \]

Rounding to 3 significant digits, we get: \[ \boxed{1.88 \times 10^{3} \, \text{kJ}} \]

Step 2: Convert kcal to cal for a corn muffin

To convert kilocalories (kcal) to calories (cal), use the conversion factor: \(1 \, \text{kcal} = 1000 \, \text{cal}\).

For a corn muffin: \[ 145 \, \text{kcal} \times 1000 \, \text{cal/kcal} = 145000 \, \text{cal} \]

Rounding to 3 significant digits, we get: \[ \boxed{1.45 \times 10^{5} \, \text{cal}} \]

Step 3: Convert kJ to kcal for three ounces of cooked sirloin steak

To convert kilojoules (kJ) to kilocalories (kcal), use the conversion factor: \(1 \, \text{kJ} = 0.239006 \, \text{kcal}\).

For three ounces of cooked sirloin steak: \[ 1000 \, \text{kJ} \times 0.239006 \, \text{kcal/kJ} = 239.006 \, \text{kcal} \]

Rounding to 3 significant digits, we get: \[ \boxed{239. \, \text{kcal}} \]

Final Answer

  • Kiwi fruit: \(\boxed{1.88 \times 10^{3} \, \text{kJ}}\)
  • Corn muffin: \(\boxed{1.45 \times 10^{5} \, \text{cal}}\)
  • Three ounces of cooked sirloin steak: \(\boxed{239. \, \text{kcal}}\)
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