We are given that a Kelvin thermometer and a Fahrenheit thermometer give the same reading for a certain sample. Let this reading be x. So, the temperature in Kelvin (K) is x, and the temperature in Fahrenheit (F) is x. We need to find the corresponding temperature in Celsius (C).The conversion formulas between these scales are: 1. Fahrenheit to Celsius: C = (F - 32) 5/9 2. Kelvin to Celsius: C = K - 273.15 (or often approximated as C = K - 273)Let's use the exact conversion K = C + 273.15 and F = (9/5)C + 32. Since K = x and F = x, we have: x = C + 273.15 (Equation 1) x = (9/5)C + 32 (Equation 2)Equating the right sides of Equation 1 and Equation 2: C + 273.15 = (9/5)C + 32Rearrange the terms to 1205.75 / 4 C = 301.4375Rounding to the nearest whole number or considering the options, the corresponding Celsius temperature is about 301 °C.
A Kelvin thermometer and a Fahrenheit thermometer both give the same reading for a certain sample. The corresponding Celsius temperature is about
Asked in UPSC CISF AC EXE 2019 · Topic: Heat and Thermodynamics (Zeroth and First Laws of Thermodynamics (Internal Energy, Work, Heat, Enthalpy))
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