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The steam point and the ice point of a m...

The steam point and the ice point of a mercury thermometer are marked as `80^@ and 10^@`. At what temperature on centigrade scale the reading of this thermometer will be `59^@` ?

Text Solution

Verified by Experts

Let the relation between the thermometer reading and centigrade be
`y=ax+b`
gien at `x=100, y=80` and at `x=0,y=10`
`:.80=100a+b,10=bimpliesa=0.7`
Now we have to find x when y=59
`:.59=0.7xx+bimpliesx=70`
`:.` The answer is `70^(@)C`
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