Question

convert 136.71°f to kelvins. round your answer to the correct number of significant figures. k

Explanation:

Step1: Convert °F to °C

First, use the formula to convert Fahrenheit to Celsius:
$$^\circ\text{C} = \frac{5}{9} \times (^\circ\text{F} - 32)$$
Substitute $^\circ\text{F}=136.71$:
$$^\circ\text{C} = \frac{5}{9} \times (136.71 - 32) = \frac{5}{9} \times 104.71 \approx 58.1722^\circ\text{C}$$

Step2: Convert °C to Kelvin

Use the Celsius to Kelvin conversion formula:
$$\text{K} = ^\circ\text{C} + 273.15$$
Substitute the calculated Celsius value:
$$\text{K} = 58.1722 + 273.15 = 331.3222$$

Step3: Round to sig figs

The original value $136.71^\circ\text{F}$ has 5 significant figures, so round the result to 5 sig figs:
$$331.32$$

Answer:

331.32