Join thousands of students who trust us to help them ace their exams!
Multiple Choice
Which of the following is the largest quantity of energy?
A
9.00 × 108 J
B
2.15 × 108 cal
C
2.15 × 105 Cal
D
2.50 × 102 KWh
E
All are the same to three significant figures.
0 Comments
Verified step by step guidance
1
Convert each energy quantity to the same unit for comparison. Joules (J) is a common unit for energy, so let's convert all values to Joules.
Start with the calories (cal) conversion: 1 cal = 4.184 J. Multiply 2.15 × 10^8 cal by 4.184 to convert to Joules.
Next, convert Calories (Cal) to Joules. Remember that 1 Cal = 1000 cal, so first convert Calories to calories, then use the conversion from calories to Joules. Multiply 2.15 × 10^5 Cal by 1000 to get calories, then multiply by 4.184 to convert to Joules.
Convert kilowatt-hours (KWh) to Joules. Use the conversion factor 1 KWh = 3.6 × 10^6 J. Multiply 2.50 × 10^2 KWh by 3.6 × 10^6 to convert to Joules.
Compare all the converted values in Joules to determine which is the largest. Since the problem states they are the same to three significant figures, verify this by checking the significant figures in each converted value.