What is the Fahrenheit value for 110°C?
-
A
61
-
B
78
-
C
198
-
D
230
110°C is equivalent to 230°F.
The conversion from Celsius to Fahrenheit uses the formula: F = (9/5)C + 32. This formula accounts for both the difference in the size of a degree (each Celsius degree is 9/5 the size of a Fahrenheit degree) and the 32-degree offset between the two scales at the freezing point of water.
A) 61
61°F is approximately 16.1°C, which is a cool room temperature. 110°C is significantly hotter, being the temperature of boiling water at many altitudes or in a vigorous oven. This value is far too low.
B) 78
78°F is approximately 25.6°C, a pleasant warm temperature. It does not correspond to the high heat of 110°C.
C) 198
This value results from a common calculation error: performing only the multiplication step and forgetting to add 32. (9/5) × 110 = 198. However, the complete formula is F = 198 + 32 = 230.
D) 230
Correct application of the formula: F = (9/5 × 110) + 32 = (198) + 32 = 230. 110°C is a very high temperature, and 230°F correctly reflects this, aligning with temperatures found in cooking or industrial processes.
Conclusion:
Temperature conversion requires careful application of the correct formula. For Celsius to Fahrenheit, the complete calculation involves multiplying by 9/5 and then adding 32. For 110°C, this yields (9/5 * 110) = 198, plus 32 equals 230°F.
Topic Flashcards
Click to FlipWhat is the correct two-step formula to convert a temperature from Celsius (°C) to Fahrenheit (°F)?
F = (9/5 × °C) + 32. First multiply the Celsius temperature by 9/5, then add 32 to the result.
What is a common incorrect result for converting 110°C to °F, and what mistake causes it?
198°F. This mistake happens if you multiply 110 by 9/5 but forget to add 32 to the result.
Perform the conversion: What is 110°C in Fahrenheit? Show the calculation.
230°F. Calculation: (9/5 × 110) = 198; then 198 + 32 = 230.
If you know a temperature in Fahrenheit, what is the formula to convert it back to Celsius?
C = (5/9) × (°F - 32). First subtract 32 from °F, then multiply the result by 5/9.
The boiling point of water is 100°C. Use the formula to confirm its well-known Fahrenheit equivalent.
212°F. Calculation: (9/5 × 100) = 180; then 180 + 32 = 212.