Question

Oil in car engines often is subjected to differences in temperature as high as ∆T = 312 °F especially oil near the combustion chamber. Derive an expression to convert this difference into Celsius and enter the answer below.

∆TC = _________°C

Answer 1

The temperature difference of ΔT = 312°F in a car engine can be converted to Celsius using the formula ΔTC = (ΔTF - 32) × 5/9, resulting in a temperature difference of 155.56°C.

Step-by-step explanation:

The student asked to derive an expression to convert the given temperature difference from Fahrenheit to Celsius. The formula to convert °F to °C is °C = (°F - 32) × 5/9. Using this formula, the temperature difference in Celsius (ΔTC) can be calculated as follows:

ΔTC = (ΔTF - 32) × 5/9 = (312°F - 32) × 5/9 = (280°F) × 5/9

ΔTC = 280 × 5/9 = 155.56°C

Thus, the temperature difference in Celsius is 155.56°C.