The liquid thread in a thermometer is 4.0 cm long at 0 °C and 24.0 cm long at 100 °C. What is the temperature, in °C and in K, when the thread is 11.0 cm long? Assume the length changes linearly with temperature.
- Length change for 100 °C: 24.0 − 4.0 = 20.0 cm.
- Length change from 0 °C: 11.0 − 4.0 = 7.0 cm.
- θ = 100 × 7.0 ÷ 20.0 = 35 °C.
- T = 35 + 273.15 = 308.15 K.
Answer: 35 °C, which is about 308 K.