A Kelvin thermometer and a Fahrenheit thermometer both give the same reading for a certain sample. The corresponding Celsius temperature is about<\/p>\n
[amp_mcq option1=”301 \u00b0C” option2=”614 \u00b0C” option3=”276 \u00b0C” option4=”273 \u00b0C” correct=”option1″]<\/p>\n
The conversion formulas between these scales are:
\n1. Fahrenheit to Celsius: C = (F – 32) * 5\/9
\n2. Kelvin to Celsius: C = K – 273.15 (or often approximated as C = K – 273)<\/p>\n
Let’s use the exact conversion K = C + 273.15 and F = (9\/5)C + 32.
\nSince K = x and F = x, we have:
\nx = C + 273.15 (Equation 1)
\nx = (9\/5)C + 32 (Equation 2)<\/p>\n
Equating the right sides of Equation 1 and Equation 2:
\nC + 273.15 = (9\/5)C + 32<\/p>\n
Rearrange the terms to solve for C:
\n273.15 – 32 = (9\/5)C – C
\n241.15 = (9\/5 – 5\/5)C
\n241.15 = (4\/5)C<\/p>\n
C = (241.15 * 5) \/ 4
\nC = 1205.75 \/ 4
\nC = 301.4375<\/p>\n