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

Answer: The approximate Celsius and Kelvin equivalents are: - For -19°F, it is about -28.33°C and 244.82 K. - For 98.6°F, it is about 37°C and 310.15 K. - For 52°F, it is about 11.11°C and 284.26 K.

Step-by-step solution

Convert -19°F to Celsius and Kelvin

a) To convert -19°F to degrees Celsius, we'll use the conversion formula: $C=\frac{5}{9}(-19-32)$ $C=\frac{5}{9}(-51)$ C ≈ -28.33 °C Now, to convert -28.33 °C to kelvins, we'll use the conversion formula: K = -28.33 + 273.15 K ≈ 244.82 K The temperature -19°F is approximately -28.33 °C and 244.82 K.

Convert 98.6°F to Celsius and Kelvin

b) To convert 98.6°F to degrees Celsius, we'll use the conversion formula: $C=\frac{5}{9}(98.6-32)$ C ≈ 37 °C Now, to convert 37°C to kelvins, we'll use the conversion formula: K = 37 + 273.15 K = 310.15 K The temperature 98.6°F is approximately 37 °C and 310.15 K.

Convert 52°F to Celsius and Kelvin

c) To convert 52°F to degrees Celsius, we'll use the conversion formula: $C=\frac{5}{9}(52-32)$ $C=\frac{5}{9}(20)$ C ≈ 11.11 °C Now, to convert 11.11 °C to kelvins, we'll use the conversion formula: K = 11.11 + 273.15 K ≈ 284.26 K The temperature 52°F is approximately 11.11 °C and 284.26 K.