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3.045 Energy unit conversions

Worksheet
Kilojoules and calories
1

Convert the following to calories using 1\text{ kcal} = 1000\text{ cal}:

a

38.7 \text{ kcal}

b

6 \text{ kcal}

c

4.2 \text{ kcal}

d

3.2 \text{ kcal}

e

14.06 \text{ kcal}

f

8.75 \text{ kcal}

g

121.5 \text{ kcal}

h

0.005 \text{ kcal}

2

Convert the following to kilocalories using 1\text{ kcal} = 1000\text{ cal}:

a

9000 \text{ cal}

b

62\,500 \text{ cal}

c

3500 \text{ cal}

d

18\,050 \text{ cal}

e

4000 \text{ cal}

f

8050 \text{ cal}

g

12\,450 \text{ cal}

h

760 \text{ cal}

3

Convert the following to kilocalories using 1\text{ kcal} = 4.184\text{ kJ}. Round your answers to two decimal places where necessary.

a

41.84 \text{ kJ}

b

5439.2 \text{ kJ}

c

3974.8 \text{ kJ}

d

50\,208 \text{ kJ}

e

63 \text{ kJ}

f

3108 \text{ kJ}

g

14\,448 \text{ kJ}

h

567 \text{ kJ}

4

Convert the following to Calories using 1\text{ Cal} = 4.184\text{ kJ}:

a

230.12 \text{ kJ}

b

2605.26 \text{ kJ}

c

1255.2 \text{ kJ}

d

3619.16 \text{ kJ}

e

359.824 \text{ kJ}

f

24\,267.2 \text{ kJ}

g

2928.8 \text{ kJ}

h

627.6 \text{ kJ}

5

Convert the following to joules using 1\text{ kJ} = 1000\text{ J}:

a
4\text{ kJ}
b
8\text{ kJ}
c
1.2\text{ kJ}
d
0.6\text{ kJ}
e
11\text{ kJ}
f
0.07\text{ kJ}
g
15.4\text{ kJ}
h
0.009\text{ kJ}
6

Convert the following to kilojoules, correct to two decimal places where necessary. Remember 1\text{ kcal} = 1\text{ Cal} = 4.184 \text{ kJ}.

a

9000 \text{ J}

b

25 \text{ kcal}

c

542 \text{ kcal}

d

65 \text{ Cal}

e

890.4 \text{ Cal}

f

57\,200 \text{ J}

g

7300 \text{ J}

h

11\,400 \text{ J}

7

For each of the following use 1\text{ kcal} = 1000 \text{ cal} = 1\text{ Cal} = 4.184 \text{ kJ} to:

i

Convert it to Calories.

ii

Convert it to kilojoules, correct to two decimal places.

a

6200 \text{ cal}

b

67\,400 \text{ cal}

8

For each of the following use 1\text{ kcal} = 1000 \text{ cal} = 1\text{ Cal} = 4.184 \text{ kJ} to:

i

Convert it to Calories, correct to three decimal places.

ii

Convert it into calories.

a

176.4 \text{ kJ}

b

2.394 \text{ kJ}

9

Convert each of the following using 1\text{ kcal} = 1000 \text{ cal} = 1\text{ Cal} = 4.184 \text{ kJ}. Round your answers to two decimal places where necessary.

a

0.89 \text{ kcal} to \text{cal}

b

1046 \text{ kJ} to \text{kcal}

c

20\,170 \text{ cal} to \text{kcal}

d

648 \text{ kJ} to \text{Cal}

e
11\text{ kJ} to \text{J}
f

14\,890 \text{ J} to \text{kJ}

g

30\,150 \text{ cal} to \text{kcal}

h

0.0084 \text{ kcal} to \text{cal}

i

26\,000 \text{ J} to \text{cal}

j

10.6 \text{ kJ} to \text{cal}

k

32\,000 \text{ cal} to \text{kJ}

l

860 \text{ cal} to \text{J}

10

For the following problems, use the approximate conversion rate: 1\text{ kcal } = 4.2\text{ kJ}.

a

Peter used 537 kilocalories while using an exercise bike. How many kilojoules did he use?

b

Gwen wants to burn 2352 kilojoules. How many kilocalories does she want to burn?

11

A scientist is trying to harvest lightning for energy. She determines that one lightning bolt delivers 2.75 \times 10^{9}\text{ J} to the earth.

Find the energy delivered by the lightning bolt in:

a

Kilojoules

b

Megajoules, (1 megajoule = 10^{6}\text{ J})

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Outcomes

MS11-3

solves problems involving quantity measurement, including accuracy and the choice of relevant units

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