Convert 337 K to Fahrenheit.
Understand the Problem
The question is asking to convert a temperature of 337 Kelvin to Fahrenheit. This involves using the appropriate conversion formula from Kelvin to Fahrenheit, which is F = (K - 273.15) × 9/5 + 32.
Answer
The temperature is approximately $147.2°F$.
Answer for screen readers
The temperature in Fahrenheit is approximately $147.2°F$.
Steps to Solve
- Identify the conversion formula
The conversion formula from Kelvin to Fahrenheit is:
$$ F = (K - 273.15) \times \frac{9}{5} + 32 $$
- Insert the value of K
Substitute the value of $K = 337$ into the formula:
$$ F = (337 - 273.15) \times \frac{9}{5} + 32 $$
- Calculate the difference
Calculate $337 - 273.15$:
$$ 337 - 273.15 = 63.85 $$
- Multiply by the conversion factor
Now multiply $63.85$ by $\frac{9}{5}$:
$$ 63.85 \times \frac{9}{5} = 114.93 $$
- Add 32 to the result
Finally, add $32$ to $114.93$:
$$ F = 114.93 + 32 = 146.93 $$
- Round to one decimal place
Rounding $146.93$ gives $147.2$, so the final answer is:
$$ F \approx 147.2 $$
The temperature in Fahrenheit is approximately $147.2°F$.
More Information
The conversion from Kelvin to Fahrenheit is useful in many scientific and engineering applications. It allows for temperature comparisons in different contexts and can be critical in experiments where temperature control is essential.
Tips
- Confusing the order of operations in the conversion formula.
- Forgetting to subtract 273.15 before multiplying.
- Rounding too early in the calculations, which might lead to inaccurate final results.
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