Subjects physics

F To Kelvin E11D25

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Question: Convert 350° F to Kelvins. Convert F to Celsius as a first step. Round to 1 d.p.
1. **State the problem:** Convert temperature from $350^\circ F$ to Kelvins (K). 2. **Formula to convert Fahrenheit to Celsius:** $$ C = \frac{5}{9} (F - 32) $$ 3. **Convert $350^\circ F$ to Celsius:** $$ C = \frac{5}{9} (350 - 32) = \frac{5}{9} \times 318 $$ 4. **Simplify the fraction:** $$ C = \frac{5}{\cancel{9}} \times \frac{318}{\cancel{9}} = 5 \times 35.333... = 176.666... $$ 5. **Round Celsius temperature to 1 decimal place:** $$ C \approx 176.7^\circ C $$ 6. **Formula to convert Celsius to Kelvin:** $$ K = C + 273.15 $$ 7. **Convert Celsius to Kelvin:** $$ K = 176.7 + 273.15 = 449.85 $$ 8. **Round Kelvin temperature to 1 decimal place:** $$ K \approx 449.9\,K $$ **Final answer:** $449.9\,K$