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5.03 Conversion of kilojoules to calories

Worksheet
Energy conversions
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}

Applications
10

Harris ate a packet of chips that contains 460 \text{ kJ} of energy. How many Calories does he need to use to burn off the energy from the chips? Round your answer to the nearest whole number.

11

The treadmill at the gym displays the estimated kilocalories that a person has used while on the machine. Vincent was using the treadmill and used 782 \text{ kcal}. Convert this into kilojoules.

12

Ursula is training for a charity walk. In one of her training sessions, she wants to burn 2751 \text{ kJ}. How many kilocalories does she want to burn? Round your answer to the nearest whole number.

13

Aoife went for a run and burned 1400\text{ kJ}. She then goes to a cafe for lunch that serves the items shown in the table:

Aoife wants to buy one item to eat and one drink, but she needs to eat less energy than she used during her run. What could she get for lunch?

ItemCalories
\text{Hamburger}295
\text{Chips}312
\text{Salad}50
\text{Sandwich}200
\text{Coke}150
\text{Orange juice}110
\text{Water}0
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Outcomes

ACMEM032

use units of energy used for foods, including calories

ACMEM034

convert from one unit of energy to another

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