Question

When a candle burns it produced 41,300 Joules per 1 gram. Use dimensional analysis to convert this to Calories per pound.

1 cal = 4.184 J

16 ounces = 1 pound

1 ounce = 23.5 grams

1 Calorie= 1000 calories

Answer 1

4477381.7 calories/pound

Step-by-step explanation:

It is given that,

When a candle burns it produced 41,300 Joules per 1 gram.

We need to convert it into calories per pound.

We know that,

1 cal = 4.184 J

⇒ 1 J = (1/4.184) cal

1 pound = 453.592 grams

⇒1 g = (1/453.592) pounds

Now,

`41300\ \text{Joules per gram}=\frac{41300\ \text{Joules}}{\text{gram}}\\\\=41300* \frac{(1)/(4.184)\ \text{calories}}{(1)/(453.592)\ \text{gram}}\\\\=4477381.7\ \text{calories/pound}`

Hence, 41,300 Joules/gram = 4477381.7 calories/pound.