Perform each conversion.
(a) 345 Cal to kilowatt-hours
(b) 23 J to calories
(c) 5.7 × 103 J to kilojoules
(d) 326 kJ to joules
Here, we are going to perform the given conversions.
Conversion of units can be done by a method called unit factor method based on the relationship between different units that expresses the same quantity.
Step 2:Converting calorie(cal) to kilowatt-hours(kWh)
1 cal = 1.163 x 10-6 kWh
1 = 1.163 x 10-6 kWh / 1 cal
1.163 x 10-6 kWh / 1 cal is called the conversion factor. Any measurement in calories can be converted to kilowatt-hours by simply multiplying the given quantity with the conversion factor.
Thus, 345 cal = 345 cal x = 0.000401235 kWh
b) Converting Joule(J) to calories(cal)
1 J = 0.2389 cal
1 = 0.2389 cal / 1 J
0.2389 cal / 1 J is called the conversion factor. Any measurement in joule can be converted to calories by simply multiplying the given quantity with the conversion factor.
Thus, 23 J = 23 J x = 5.4947 cal.