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Question

the distance between the upper and lower fixed points is 80 cm.(a) Find the temperature on celsius scale if the mercury level rises to 10.4 cm above the lower fixed points. (b) What will be thetemperature recorded in part.

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Solution

Let us assume that the temperature is meausred betwene an upper point of 100C and a lower point of 0C.

so,

80cm = 100C - 0C

so,

1cm = 1.25C

so, every cm represents 1.25C of temperature.

thus, if the mercury rises to 10.4 cm, the temperature measured will be

10.4cm x 1.25C = 13C

now, in Fahrenheit

(F-32)/9 = C/5

so,

F = 9C/5 + 32

= (9 x13) / 5 + 32

= 23.4 + 32

so,

F = 55.4 F


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