Answer :
Alright! Let's solve the problem of converting 1,152 BTUs (British Thermal Units) into joules.
### Step-by-Step Solution:
1. Understanding the Conversion Factor:
- To convert BTUs to joules, we use the conversion factor:
[tex]\[ 1 \text{ Btu} = 1055.06 \text{ joules} \][/tex]
2. Calculate the Energy in Joules:
- Given that we have 1,152 BTUs, we need to multiply this by the conversion factor to find the equivalent energy in joules:
[tex]\[ \text{Energy in joules} = 1152 \text{ Btu} \times 1055.06 \text{ joules/Btu} \][/tex]
3. Perform the Multiplication:
- By performing the multiplication:
[tex]\[ 1152 \times 1055.06 = 1215429.12 \text{ joules} \][/tex]
4. Compare with Given Options:
- Now, we compare our calculated value, 1,215,429.12 joules, to the options provided in the question to find the closest match.
- A. 2,485,664 J
- B. 987,875 J
- C. 1,964,445 J
- D. 1,215,360 J
- Observing the options closely, the value 1,215,429.12 joules is closest to option D, 1,215,360 J.
### Conclusion:
The best answer is D. 1,215,360 J.
### Step-by-Step Solution:
1. Understanding the Conversion Factor:
- To convert BTUs to joules, we use the conversion factor:
[tex]\[ 1 \text{ Btu} = 1055.06 \text{ joules} \][/tex]
2. Calculate the Energy in Joules:
- Given that we have 1,152 BTUs, we need to multiply this by the conversion factor to find the equivalent energy in joules:
[tex]\[ \text{Energy in joules} = 1152 \text{ Btu} \times 1055.06 \text{ joules/Btu} \][/tex]
3. Perform the Multiplication:
- By performing the multiplication:
[tex]\[ 1152 \times 1055.06 = 1215429.12 \text{ joules} \][/tex]
4. Compare with Given Options:
- Now, we compare our calculated value, 1,215,429.12 joules, to the options provided in the question to find the closest match.
- A. 2,485,664 J
- B. 987,875 J
- C. 1,964,445 J
- D. 1,215,360 J
- Observing the options closely, the value 1,215,429.12 joules is closest to option D, 1,215,360 J.
### Conclusion:
The best answer is D. 1,215,360 J.