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Question -

A solution is to be kept between 86o and 95oF. What is the range of temperature in degree Celsius, if the Celsius (C)/Fahrenheit (F) conversion formula is given by F = 9/5C + 32.



Answer -

Let us consider F1 =86o F

And F2 =95o

We know, F = 9/5C + 32

F1 =9/5 C1 + 32

F1 –32 = 9/5 C1

C1 =5/9 (F1 – 32)

= 5/9 (86 – 32)

= 5/9 (54)

= 5 × 6

= 30o C

Now,

F2 =9/5 C2 + 32

F2 –32 = 9/5 C2

C2 =5/9 (F2 – 32)

= 5/9 (95 – 32)

= 5/9 (63)

= 5 × 7

= 35o C

The range oftemperature of the solution in degree Celsius is 30° C and 35° C.

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