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Answer :
To convert 38.5 megajoules (MJ) to microjoules (μJ), you need to understand the conversion factors between these units:
1. Understand the units:
- Mega (M) means [tex]\(10^6\)[/tex].
- Micro (μ) means [tex]\(10^{-6}\)[/tex].
2. Convert megajoules to joules:
- 1 megajoule (MJ) is equal to 1,000,000 joules (J). So, 38.5 MJ is equal to [tex]\(38.5 \times 10^6\)[/tex] J.
3. Convert joules to microjoules:
- 1 joule (J) is equal to 1,000,000 microjoules (μJ). Therefore, when you have joules and want to convert to microjoules, you multiply by [tex]\(10^6\)[/tex].
4. Final conversion:
- Combining both steps, 1 megajoule (MJ) is equal to [tex]\(10^{12}\)[/tex] microjoules (μJ) because [tex]\(10^6 \times 10^6 = 10^{12}\)[/tex].
5. Calculate the total in microjoules:
- Multiply the energy value in megajoules by [tex]\(10^{12}\)[/tex] to convert it to microjoules:
[tex]\[
38.5 \, \text{MJ} \times 10^{12} = 38.5 \times 1,000,000,000,000 = 38,500,000,000,000 \, \text{μJ}
\][/tex]
Therefore, 38.5 MJ is equal to [tex]\(38,500,000,000,000\)[/tex] microjoules (μJ).
1. Understand the units:
- Mega (M) means [tex]\(10^6\)[/tex].
- Micro (μ) means [tex]\(10^{-6}\)[/tex].
2. Convert megajoules to joules:
- 1 megajoule (MJ) is equal to 1,000,000 joules (J). So, 38.5 MJ is equal to [tex]\(38.5 \times 10^6\)[/tex] J.
3. Convert joules to microjoules:
- 1 joule (J) is equal to 1,000,000 microjoules (μJ). Therefore, when you have joules and want to convert to microjoules, you multiply by [tex]\(10^6\)[/tex].
4. Final conversion:
- Combining both steps, 1 megajoule (MJ) is equal to [tex]\(10^{12}\)[/tex] microjoules (μJ) because [tex]\(10^6 \times 10^6 = 10^{12}\)[/tex].
5. Calculate the total in microjoules:
- Multiply the energy value in megajoules by [tex]\(10^{12}\)[/tex] to convert it to microjoules:
[tex]\[
38.5 \, \text{MJ} \times 10^{12} = 38.5 \times 1,000,000,000,000 = 38,500,000,000,000 \, \text{μJ}
\][/tex]
Therefore, 38.5 MJ is equal to [tex]\(38,500,000,000,000\)[/tex] microjoules (μJ).
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