The freezing point on a thermometer is marked as 20 A and the boiling point as 120A find the value of temperature 80 C on this thermometer
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Answer:
100A.
Explanation:
120A -> 100 *C
20A -> 0 *C
So, let T(C) = aT(A) + b
Putting T(C) = 0, T(A) = 20:
0 = 20a + b ...1
And T(C) = 100, T(A) = 120:
100 = 120a + b ...2
2 - 1:
100a = 100
=> a = 1 ...3
3 in 1:
0 = 20 * (1) + b
=> b = -20
So, T(C) = T(A) - 20
Putting T(C) = 80:
80 = T(A) - 20
T(A) = 100.
So, temperature on the given thermometer = 100A.
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