Question

problems
11.1 temperature and thermal energy

1. what is 35.0 °f in kelvins?

a. 1.67 k
b. 35.0 k
c. -271.5 k
d. 274.8 k

Explanation:

Step1: Convert °F to °C

Use the formula for Fahrenheit to Celsius conversion:
$$T(^\circ\text{C}) = \frac{5}{9} \times (T(^\circ\text{F}) - 32)$$
Substitute $T(^\circ\text{F}) = 35.0$:
$$T(^\circ\text{C}) = \frac{5}{9} \times (35.0 - 32) = \frac{5}{9} \times 3 = 1.666...^\circ\text{C}$$

Step2: Convert °C to Kelvin

Use the formula for Celsius to Kelvin conversion:
$$T(\text{K}) = T(^\circ\text{C}) + 273.15$$
Substitute $T(^\circ\text{C}) = 1.666...$:
$$T(\text{K}) = 1.666... + 273.15 = 274.816... \approx 274.8\text{ K}$$

Answer:

d. 274.8 K