Convert between energy units. c. 4.99 × 10³ kJ to kWh

Verified step by step guidance

1. Identify the conversion factor between kilojoules (kJ) and kilowatt-hours (kWh). The conversion factor is 1 kWh = 3600 kJ.
2. Write down the given energy in kilojoules, which is 4.99 \times 10^3 kJ.
3. Set up the conversion equation using the conversion factor. You want to convert kJ to kWh, so divide the energy in kJ by the conversion factor (3600 kJ/kWh).
4. Perform the division to convert the energy from kJ to kWh. This involves dividing 4.99 \times 10^3 kJ by 3600 kJ/kWh.
5. The result from the division will give you the energy in kilowatt-hours (kWh).

Key Concepts

Energy Units

Energy can be measured in various units, with kilojoules (kJ) and kilowatt-hours (kWh) being common in chemistry and electrical contexts. A kilojoule is a unit of energy equal to 1,000 joules, while a kilowatt-hour is the energy consumed by a power of one kilowatt running for one hour, equivalent to 3.6 million joules.

Conversion Factors

To convert between different energy units, specific conversion factors are used. For instance, to convert kJ to kWh, one must know that 1 kWh equals 3.6 million joules. Therefore, the conversion involves dividing the energy in kJ by 3,600 to obtain the equivalent in kWh.

Dimensional Analysis

Dimensional analysis is a mathematical technique used to convert units by multiplying by conversion factors that cancel out unwanted units. This method ensures that the final answer is in the desired unit, making it a crucial tool for solving problems involving unit conversions in chemistry.