Question

30 BTU is equivalent to:

A) 31.58 kJ
B) 31.79 kJ
C) 32.14 kJ
D) 32.36 kJ

Answer 1

30 BTUs are approximately equivalent to 31.65 kilojoules when using the conversion factor of 1 BTU = 1,055 Joules. The closest provided option is 31.58 kJ (Option A), although this does not match precisely.

Step-by-step explanation:

The student is asking for the conversion of 30 BTUs into kilojoules (kJ). Given that 1 BTU is equivalent to approximately 1,055 Joules (J), we calculate the equivalent in kilojoules by first multiplying the number of BTUs by the conversion factor and then dividing by 1,000 to convert from Joules to kilojoules (since 1 kilojoule = 1,000 Joules).

Therefore, to convert 30 BTUs into kilojoules:

1. Multiply 30 BTUs by 1,055 J/BTU to get the energy in Joules.
2. Then, divide the result by 1,000 to convert Joules to kilojoules.

So, the calculation is as follows: 30 BTUs x 1,055 J/BTU = 31,650 J, which is then divided by 1,000 to get 31.65 kJ.

The closest answer to 31.65 kJ from the provided options is 31.58 kJ (Option A), but this is not precisely correct based on the given conversion factor. It's important to note that energy conversions can have slight variations depending on the accuracy of the conversion factors used.