Question

A faulty Fahrenheit thermometer shows a temperature of 206°F whe
immersed in boiling water. When a correct Celsius thermometer
dipped in the same water it records 96°C. Find the correction to
applied to the faulty thermometer when it reads 206°F. [Ans: -1.2°F)​

Answer 1

Answer:

Explanation: First change the given correct reading(C) into Fahrenheit. Then subtract the faulty measurement from result you got.

Answer 2

The correction that should be applied to the faulty temperature would be 1.2°F and that should be decreased( -1.2°F).

Given,

Temperature shown by the faulty Fahrenheit thermometer in the boiling water=206°F

Temperature shown by the correct Celsius thermometer in the boiling water=96°F.

To find,

the correction to applied to the faulty thermometer when it reads 206°F.

Solution:

• Temperature refers to the degree of hotness or coldness of an object.

• Fahrenheit and Celsius scales are the scales that are used to measure the temperature of an object.
• The Fahrenheit and the Celsius temperature of an object are related as:
• $\frac{C}{5} =\frac{F-32}{9}$.
• where, C-temperature on Celsius scale and F-temperature on Fahrenheit scale.

96°C on the the correct Celsius thermometer will be equivalent to:

$\frac{C}{5} =\frac{F-32}{9}\\\frac{96}{5} =\frac{F-32}{9}\\96X9=5(F-32)\\864=5F-160\\5F=864+160\\5F=1024\\F=204.8 degree-Fahrenheit.$

96°C on the the correct Celsius thermometer will be equivalent to 204.8°F.

The correction needed to be applied is:

$=(206-204.8) degree-Fahrenheit\\=1.2 degree-Fahrenheit.$

Thus, the correction to be applied is 1.2°F.

#SPJ2