A Celsius and a Fahrenheit thermometer are di | vedclass

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(B) The boiling point of water is $100^{\circ}C$ on the Celsius scale and $212^{\circ}F$ on the Fahrenheit scale.Initially, both thermometers are at t

Vedclass · Accepted Answer

$40$

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(B) The boiling point of water is $100^{\circ}C$ on the Celsius scale and $212^{\circ}F$ on the Fahrenheit scale.Initially, both thermometers are at the boiling point: $T_C = 100^{\circ}C$ and $T_F = 212^{\circ}F$.The temperature is lowered until the Fahrenheit thermometer reads $140^{\circ}F$.Using the conversion formula $T_C = \frac{5}{9}(T_F - 32)$:$T_C = \frac{5}{9}(140 - 32) = \frac{5}{9}(108) = 5 	imes 12 = 60^{\circ}C$.The initial temperature on the Celsius scale was $100^{\circ}C$ and the final temperature is $60^{\circ}C$.The fall in temperature is $100^{\circ}C - 60^{\circ}C = 40^{\circ}C$.

$A$ Celsius and a Fahrenheit thermometer are dipped in boiling water. The temperature of water is lowered until the Fahrenheit thermometer shows $140^{\circ}F$. What is the fall in temperature on the Celsius thermometer (in $^{\circ}C$)?

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