Question

Express each of the following temperatures in degrees Celsius and in kelvins. a) \(-19^{\circ} \mathrm{F}\) b) \(98.6^{\circ} \mathrm{F}\) c) \(52^{\circ} \mathrm{F}\)

Short answer

Question: Convert the following temperatures given in Fahrenheit to Celsius and Kelvin: a) -19°F b) 98.6°F c) 52°F Answer: a) -19°F = -28.333°C = 244.817 K b) 98.6°F = 37°C = 310.15 K c) 52°F = 11.111°C = 284.261 K

Step-by-step solution

Convert temperatures from Fahrenheit to Celsius

To convert the given temperatures in Fahrenheit to degrees Celsius, use the formula: °C = (°F - 32) × 5/9. a) \(-19^{\circ} \mathrm{F}\) °C = (-19 - 32) × 5/9 b) \(98.6^{\circ} \mathrm{F}\) °C = (98.6 - 32) × 5/9 c) \(52^{\circ} \mathrm{F}\) °C = (52 - 32) × 5/9

Calculate the Celsius temperatures

Using the formula mentioned above, calculate the Celsius temperatures: a) (-19 - 32) × 5/9 = -28.333 °C b) (98.6 - 32) × 5/9 = 37 °C c) (52 - 32) × 5/9 = 11.111 °C

Convert temperatures from Celsius to kelvins

To convert the calculated Celsius temperatures to kelvins, use the formula: K = °C + 273.15. a) K = -28.333 + 273.15 b) K = 37 + 273.15 c) K = 11.111 + 273.15

Calculate the Kelvin temperatures

Using the formula mentioned above, calculate the kelvin temperatures: a) -28.333 + 273.15 = 244.817 K b) 37 + 273.15 = 310.15 K c) 11.111 + 273.15 = 284.261 K To summarize, the temperatures in Celsius and kelvins are: a) \(-19^{\circ} \mathrm{F}\) = -28.333 °C = 244.817 K b) \(98.6^{\circ} \mathrm{F}\) = 37 °C = 310.15 K c) \(52^{\circ} \mathrm{F}\) = 11.111 °C = 284.261 K