Q.3.25 - An Introduction to General, Organic, and Biological Chemistry

Question

Convert each of the following energy units:

a. 3500 cal to kcal

b. 415 J to cal

c. 28 cal to J

d. 4.5 KJ to cal

Step-by-Step Solution

Answer

a. $3.5kcal$

b. $99.2 cal$

c. $117.2J$

d. $1075.5cal$

Step 1: introduction

A calorie is a unit of energy. In sustenance, calories allude to the energy individuals get from the food and drink they polish off, and the energy they use in active work.

Step 2: explanation

a. we know, $1\mathrm{kcal}=1000\mathrm{cal}$

then, $3500 cal=\frac{{\displaystyle 3500}}{1000}=3.5kcal$

b. we know, $1\mathrm{cal}=4.184\mathrm{J}$

then, $415J=\frac{415}{4.184}=99.2cal$

c. we know, $1\mathrm{cal}=4.184\mathrm{J}$

then, $28cal=28\times 4.184=117.2J$

d. we know, $1\mathrm{kcal}=4.184\mathrm{kJ}$

then, $\frac{4.5}{4.184}\times 1000=1075.5cal$