In a thermomtr upper & lower fixed points were err marked. 100 instead of 105 & 0 inst of -5. What r correct temp corresponding to 40 & 80?

We need to define a transformation between the false scale
indication and the real temperature on a correct Celsius
scale.

The real extent of the incorrect scale
is

`Delta(T) = 105 -(-5) =110 degree C`

The length of incorrect scale
is

`L =100-0 =100 units`

The
real temperature for 40 units on the incorrect scale
is

`T_1 = L_1*(Delta(T))/L = 40*110/100 =40*1.1 =44 Celsius
` 

The real temperature for 80 units on the incorrect scale
is

`T_2 =L_2*(Delta(T))/L =80*110/100 =80*1.1 =88 Celsius`

Answer: The correct temperatures
corresponding to 40 and 80 are 44 and 88 degree
Celsius