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Energy worksheet

Grades 6–7 · CCSS 6.RP.A.3.d

Solve each problem and show your work. Round answers to 2 decimal places where needed.

1.
Problem 1.
- Energy: 700
- From: Kilowatt-hours (kWh)
- To: Joules (J)
Find: In joules
Answer
2.
Problem 2.
- Energy: 575
- From: Kilowatt-hours (kWh)
- To: British thermal units (IT) (BTU)
Find: In british thermal units (it)
Answer
3.
Problem 3.
- Energy: 400
- From: Kilojoules (kJ)
- To: Kilocalories (kcal)
Find: In kilocalories
Answer
4.
Problem 4.
- Energy: 340
- From: Kilocalories (kcal)
- To: British thermal units (IT) (BTU)
Find: In british thermal units (it)
Answer
5.
Problem 5.
- Energy: 450
- From: Kilowatt-hours (kWh)
- To: Electronvolts (eV)
Find: In electronvolts
Answer
6.
Problem 6.
- Energy: 600
- From: British thermal units (IT) (BTU)
- To: Kilojoules (kJ)
Find: In kilojoules
Answer
7.
Problem 7.
- Energy: 400
- From: Calories (thermochemical) (cal)
- To: British thermal units (IT) (BTU)
Find: In british thermal units (it)
Answer
8.
Problem 8.
- Energy: 410
- From: Kilojoules (kJ)
- To: British thermal units (IT) (BTU)
Find: In british thermal units (it)
Answer
9.
Problem 9.
- Energy: 600
- From: Kilowatt-hours (kWh)
- To: Electronvolts (eV)
Find: In electronvolts
Answer
10.
Problem 10.
- Energy: 700
- From: Calories (thermochemical) (cal)
- To: British thermal units (IT) (BTU)
Find: In british thermal units (it)
Answer

Answer key: Energy worksheet

1. In joules: 2,520,000,000 J
1. First change to joules, the shared unit. 1 kWh = 3,600,000 J, so multiply
  $700 kWh \times 3,600,000$ $= 2,520,000,000 J$
2. In british thermal units (it): 1,961,981.44 BTU
1. First change to joules, the shared unit. 1 kWh = 3,600,000 J, so multiply
  $575 kWh \times 3,600,000$ $= 2,070,000,000 J$
2. Then change joules to british thermal units (it). 1 BTU = 1,055.05585262 J, so divide
  $\frac{2,070,000,000 J}{1,055.05585262}$ $= 1,961,981.4390485666 BTU$
3. In kilocalories: 95.6 kcal
1. First change to joules, the shared unit. 1 kJ = 1,000 J, so multiply
  $400 kJ \times 1,000$ $= 400,000 J$
2. Then change joules to kilocalories. 1 kcal = 4,184 J, so divide
  $\frac{400,000 J}{4,184}$ $= 95.6022944551 kcal$
4. In british thermal units (it): 1,348.33 BTU
1. First change to joules, the shared unit. 1 kcal = 4,184 J, so multiply
  $340 kcal \times 4,184$ $= 1,422,560 J$
2. Then change joules to british thermal units (it). 1 BTU = 1,055.05585262 J, so divide
  $\frac{1,422,560 J}{1,055.05585262}$ $= 1,348.3267226729 BTU$
5. In electronvolts: 1.01e+28 eV
1. First change to joules, the shared unit. 1 kWh = 3,600,000 J, so multiply
  $450 kWh \times 3,600,000$ $= 1,620,000,000 J$
2. Then change joules to electronvolts. 1 eV = 1.602176634e-19 J, so divide
  $\frac{1,620,000,000 J}{1.602176634e-19}$ $= 1.0111244701e+28 eV$
6. In kilojoules: 633.03 kJ
1. First change to joules, the shared unit. 1 BTU = 1,055.05585262 J, so multiply
  $600 BTU \times 1,055.05585262$ $= 633,033.511572 J$
2. Then change joules to kilojoules. 1 kJ = 1,000 J, so divide
  $\frac{633,033.511572 J}{1,000}$ $= 633.033511572 kJ$
7. In british thermal units (it): 1.59 BTU
1. First change to joules, the shared unit. 1 cal = 4.184 J, so multiply
  $400 cal \times 4.184$ $= 1,673.6 J$
2. Then change joules to british thermal units (it). 1 BTU = 1,055.05585262 J, so divide
  $\frac{1,673.6 J}{1,055.05585262}$ $= 1.5862667326 BTU$
8. In british thermal units (it): 388.61 BTU
1. First change to joules, the shared unit. 1 kJ = 1,000 J, so multiply
  $410 kJ \times 1,000$ $= 410,000 J$
2. Then change joules to british thermal units (it). 1 BTU = 1,055.05585262 J, so divide
  $\frac{410,000 J}{1,055.05585262}$ $= 388.6050193285 BTU$
9. In electronvolts: 1.35e+28 eV
1. First change to joules, the shared unit. 1 kWh = 3,600,000 J, so multiply
  $600 kWh \times 3,600,000$ $= 2,160,000,000 J$
2. Then change joules to electronvolts. 1 eV = 1.602176634e-19 J, so divide
  $\frac{2,160,000,000 J}{1.602176634e-19}$ $= 1.3481659601e+28 eV$
10. In british thermal units (it): 2.78 BTU
1. First change to joules, the shared unit. 1 cal = 4.184 J, so multiply
  $700 cal \times 4.184$ $= 2,928.8 J$
2. Then change joules to british thermal units (it). 1 BTU = 1,055.05585262 J, so divide
  $\frac{2,928.8 J}{1,055.05585262}$ $= 2.775966782 BTU$