Steam enters a heat exchanger at 300 K. What is the temperature of this steam in °F?
Understand the Problem
The question is asking for the conversion of a temperature from Kelvin to Fahrenheit. It specifies that steam enters a heat exchanger at a temperature of 300 K, and we need to find out what this temperature is in Fahrenheit.
Answer
The temperature of the steam is approximately $80.33 °F$.
Answer for screen readers
The temperature of the steam in Fahrenheit is approximately $80.33 °F$.
Steps to Solve
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Understand the conversion formula To convert from Kelvin ($K$) to Fahrenheit ($°F$), we can use the following formula: $$ °F = \left( K - 273.15 \right) \times \frac{9}{5} + 32 $$
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Substitute the given value Substituting the temperature of 300 K into the formula: $$ °F = \left( 300 - 273.15 \right) \times \frac{9}{5} + 32 $$
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Perform the calculation First, calculate $300 - 273.15$: $$ 300 - 273.15 = 26.85 $$
Next, multiply by $\frac{9}{5}$: $$ 26.85 \times \frac{9}{5} = 48.33 $$
Finally, add 32 to the result: $$ °F = 48.33 + 32 = 80.33 $$
The temperature of the steam in Fahrenheit is approximately $80.33 °F$.
More Information
The conversion from Kelvin to Fahrenheit is essential in various scientific and engineering applications, especially in thermodynamics and heat transfer processes.
Tips
- Forgetting to subtract 273.15 before multiplying by $\frac{9}{5}$.
- Adding the conversion factor of 32 before performing other operations in the formula.
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