QuestionComplete the table with energy content in calories, kilocalories, and kilojoules, ensuring correct significant digits.
a small apple: $1.25 \times 10^{5}$ cal, $\square$ kcal, $\square$ kJ a cup of cooked white rice: $\square$ cal, 225. kcal, $\square$ kJ an ear of cooked corn: $\square$ cal, $\square$ kcal, 356. kJ

Studdy Solution

STEP 1

Assumptions1. The energy content of food can be measured in calories (cal), kilocalories (kcal), and kilojoules (kJ). . The conversion factors are as follows -1 kcal = $10^{3}$ cal -1 kcal =4.184 kJ

STEP 2

First, let's fill in the missing value in kcal for a small apple. We can do this by converting the given value in cal to kcal using the conversion factor.
$kcal = cal /10^{}$

STEP 3

Now, plug in the given value for the energy content of a small apple in cal to calculate the energy content in kcal.
$kcal =1.25 \times10^{5} /10^{3}$

STEP 4

Calculate the energy content of a small apple in kcal.
$kcal =1.25 \times10^{} /10^{3} =125$

STEP 5

Next, let's fill in the missing value in kJ for a small apple. We can do this by converting the value we just calculated in kcal to kJ using the conversion factor.
$kJ = kcal \times4.184$

STEP 6

Now, plug in the calculated value for the energy content of a small apple in kcal to calculate the energy content in kJ.
$kJ =125 \times4.184$

STEP 7

Calculate the energy content of a small apple in kJ.
$kJ =125 \times4.184 =523$

STEP 8

Next, let's fill in the missing value in cal for a cup of cooked white rice. We can do this by converting the given value in kcal to cal using the conversion factor.
$cal = kcal \times10^{3}$

STEP 9

Now, plug in the given value for the energy content of a cup of cooked white rice in kcal to calculate the energy content in cal.
$cal =225 \times^{3}$

STEP 10

Calculate the energy content of a cup of cooked white rice in cal.
$cal =225 \times10^{3} =2.25 \times10^{5}$

STEP 11

Next, let's fill in the missing value in kJ for a cup of cooked white rice. We can do this by converting the given value in kcal to kJ using the conversion factor.
$kJ = kcal \times4.184$

STEP 12

Now, plug in the given value for the energy content of a cup of cooked white rice in kcal to calculate the energy content in kJ.
$kJ =225 \times4.184$

STEP 13

Calculate the energy content of a cup of cooked white rice in kJ.
$kJ =225 \times.184 =941$

STEP 14

Finally, let's fill in the missing values in cal and kcal for an ear of cooked corn. We can do this by converting the given value in kJ to kcal using the conversion factor, and then converting kcal to cal.
First, let's convert kJ to kcal.
$kcal = kJ /4.184$

STEP 15

Now, plug in the given value for the energy content of an ear of cooked corn in kJ to calculate the energy content in kcal.
$kcal =356 /4.184$

STEP 16

Calculate the energy content of an ear of cooked corn in kcal.
$kcal =356 /4.184 =85$

STEP 17

Next, let's convert kcal to cal.
$cal = kcal \times10^{3}$

STEP 18

Now, plug in the calculated value for the energy content of an ear of cooked corn in kcal to calculate the energy content in cal.
$cal =85 \times10^{3}$

STEP 19

Calculate the energy content of an ear of cooked corn in cal.
$cal =85 \times10^{3} =8.5 \times10^{4}$ The completed table is as follows\begin{tabular}{|l|c|c|c|} \hline \multirow{}{*}{ food } & \multicolumn{3}{|c|}{ energy content when eaten } \\ \cline { -4 } & cal & kcal & kJ \\ \hline a small apple & $1.25 \times10^{5}$ &125 &523 \\ \hline a cup of cooked white rice & $.25 \times10^{5}$ &225 &941 \\ \hline an ear of cooked corn & $8.5 \times10^{4}$ &85 &356 \\ \hline\end{tabular}

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Studdy Solution

STEP 1

Assumptions1. The energy content of food can be measured in calories (cal), kilocalories (kcal), and kilojoules (kJ). . The conversion factors are as follows -1 kcal = 10310^{3}103 cal -1 kcal =4.184 kJ

STEP 2

First, let's fill in the missing value in kcal for a small apple. We can do this by converting the given value in cal to kcal using the conversion factor.kcal=cal/10kcal = cal /10^{}kcal=cal/10

STEP 3

Now, plug in the given value for the energy content of a small apple in cal to calculate the energy content in kcal.kcal=1.25×105/103kcal =1.25 \times10^{5} /10^{3}kcal=1.25×105/103

STEP 4

Calculate the energy content of a small apple in kcal.kcal=1.25×10/103=125kcal =1.25 \times10^{} /10^{3} =125kcal=1.25×10/103=125

STEP 5

Next, let's fill in the missing value in kJ for a small apple. We can do this by converting the value we just calculated in kcal to kJ using the conversion factor.kJ=kcal×4.184kJ = kcal \times4.184kJ=kcal×4.184

STEP 6

Now, plug in the calculated value for the energy content of a small apple in kcal to calculate the energy content in kJ.kJ=125×4.184kJ =125 \times4.184kJ=125×4.184

STEP 7

Calculate the energy content of a small apple in kJ.kJ=125×4.184=523kJ =125 \times4.184 =523kJ=125×4.184=523

STEP 8

Next, let's fill in the missing value in cal for a cup of cooked white rice. We can do this by converting the given value in kcal to cal using the conversion factor.cal=kcal×103cal = kcal \times10^{3}cal=kcal×103

STEP 9

Now, plug in the given value for the energy content of a cup of cooked white rice in kcal to calculate the energy content in cal.cal=225×3cal =225 \times^{3}cal=225×3

STEP 10

Calculate the energy content of a cup of cooked white rice in cal.cal=225×103=2.25×105cal =225 \times10^{3} =2.25 \times10^{5}cal=225×103=2.25×105

STEP 11

Next, let's fill in the missing value in kJ for a cup of cooked white rice. We can do this by converting the given value in kcal to kJ using the conversion factor.kJ=kcal×4.184kJ = kcal \times4.184kJ=kcal×4.184

STEP 12

Now, plug in the given value for the energy content of a cup of cooked white rice in kcal to calculate the energy content in kJ.kJ=225×4.184kJ =225 \times4.184kJ=225×4.184

STEP 13

Calculate the energy content of a cup of cooked white rice in kJ.kJ=225×.184=941kJ =225 \times.184 =941kJ=225×.184=941

STEP 14

Finally, let's fill in the missing values in cal and kcal for an ear of cooked corn. We can do this by converting the given value in kJ to kcal using the conversion factor, and then converting kcal to cal.First, let's convert kJ to kcal.kcal=kJ/4.184kcal = kJ /4.184kcal=kJ/4.184

STEP 15

Now, plug in the given value for the energy content of an ear of cooked corn in kJ to calculate the energy content in kcal.kcal=356/4.184kcal =356 /4.184kcal=356/4.184

STEP 16

Calculate the energy content of an ear of cooked corn in kcal.kcal=356/4.184=85kcal =356 /4.184 =85kcal=356/4.184=85

STEP 17

Next, let's convert kcal to cal.cal=kcal×103cal = kcal \times10^{3}cal=kcal×103

STEP 18

Now, plug in the calculated value for the energy content of an ear of cooked corn in kcal to calculate the energy content in cal.cal=85×103cal =85 \times10^{3}cal=85×103

STEP 19

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Assumptions1. The energy content of food can be measured in calories (cal), kilocalories (kcal), and kilojoules (kJ). . The conversion factors are as follows -1 kcal = $10^{3}$ cal -1 kcal =4.184 kJ

First, let's fill in the missing value in kcal for a small apple. We can do this by converting the given value in cal to kcal using the conversion factor.
$kcal = cal /10^{}$

Now, plug in the given value for the energy content of a small apple in cal to calculate the energy content in kcal.
$kcal =1.25 \times10^{5} /10^{3}$

Calculate the energy content of a small apple in kcal.
$kcal =1.25 \times10^{} /10^{3} =125$

Next, let's fill in the missing value in kJ for a small apple. We can do this by converting the value we just calculated in kcal to kJ using the conversion factor.
$kJ = kcal \times4.184$

Now, plug in the calculated value for the energy content of a small apple in kcal to calculate the energy content in kJ.
$kJ =125 \times4.184$

Calculate the energy content of a small apple in kJ.
$kJ =125 \times4.184 =523$

Next, let's fill in the missing value in cal for a cup of cooked white rice. We can do this by converting the given value in kcal to cal using the conversion factor.
$cal = kcal \times10^{3}$

Now, plug in the given value for the energy content of a cup of cooked white rice in kcal to calculate the energy content in cal.
$cal =225 \times^{3}$

Calculate the energy content of a cup of cooked white rice in cal.
$cal =225 \times10^{3} =2.25 \times10^{5}$

Next, let's fill in the missing value in kJ for a cup of cooked white rice. We can do this by converting the given value in kcal to kJ using the conversion factor.
$kJ = kcal \times4.184$

Now, plug in the given value for the energy content of a cup of cooked white rice in kcal to calculate the energy content in kJ.
$kJ =225 \times4.184$

Calculate the energy content of a cup of cooked white rice in kJ.
$kJ =225 \times.184 =941$

Finally, let's fill in the missing values in cal and kcal for an ear of cooked corn. We can do this by converting the given value in kJ to kcal using the conversion factor, and then converting kcal to cal.
First, let's convert kJ to kcal.
$kcal = kJ /4.184$

Now, plug in the given value for the energy content of an ear of cooked corn in kJ to calculate the energy content in kcal.
$kcal =356 /4.184$

Calculate the energy content of an ear of cooked corn in kcal.
$kcal =356 /4.184 =85$

Next, let's convert kcal to cal.
$cal = kcal \times10^{3}$

Now, plug in the calculated value for the energy content of an ear of cooked corn in kcal to calculate the energy content in cal.
$cal =85 \times10^{3}$