Question

Please help me solve this USING DIMENSIONAL ANALYSIS! :

Get yourself a snack. Read the nutrition label. How many calories are in the snack? Now convert this into the international unit of energy, the Kilojoule.

How many kJ are in your snack?

1 dietary Calorie = 1000 calories (the dietary Calorie, with a capital C, is what is listed on your nutrition label. This is different than a lower-case c "calorie.")

1 calorie = 4.184 Joules

Complete this sentence: In my ___________, there are _______kJ of energy.

Answer 1

Step-by-step explanation:

Given: 1 dietary Calorie = 1000 calories

1 calorie = 4.184 Joules

But,

1 dietary Calorie = 1 Kcalorie

= 1000 x 4.184 Joules

= 4184 Joules

= 4.184 KJoules

1 dietary Calories contains 4.184 KJ of energy.

A bottle of Coca cola contains 42 Kcalories; thus,

1 Kcalorie = 1000 calories

= 4.184 KJoules

Energy = 42 x 1 dietary Calories

= 42 x 4.184 KJoules

= 175.728 KJoules

Energy ≅ 176 KJ

So that;

In my bottle of coca cola, there are 176 KJ of energy.