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Chapter 6: Problem 65

Show that 1 kilowatt-hour (kW-h) is equal to 3.6 MJ.

Short Answer

Expert verified
Answer: 1 kilowatt-hour is equal to 3.6 mega-joules.

Step by step solution

01

Convert kilowatt-hours to watts-seconds

Using the given information, we first convert 1 kilowatt-hour (kW-h) into watt-seconds (W-s): 1 kW-h = 1 kW * 1 hour = 1000 W * 3600 s.
02

Convert watts-seconds to joules

Now, we convert watt-seconds (W-s) into joules (J) using the conversion 1 W = 1 J/s: 1000 W * 3600 s = 1000 J/s * 3600 s.
03

Simplify the expression

The expression in Step 2 becomes: 1000 J/s * 3600 s = 3600000 J.
04

Convert joules to mega-joules

Finally, we convert joules (J) into mega-joules (MJ): 3600000 J = 3.6 MJ. So, 1 kilowatt-hour is equal to 3.6 mega-joules.

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