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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┬а=86o┬аF

And F2┬а=95o

We know, F = 9/5C + 32

F1┬а=9/5 C1┬а+ 32

F1┬атАУ32 = 9/5 C1

C1┬а=5/9 (F1┬атАУ 32)

= 5/9 (86 тАУ 32)

= 5/9 (54)

= 5 ├Ч 6

= 30o┬аC

Now,

F2┬а=9/5 C2┬а+ 32

F2┬атАУ32 = 9/5 C2

C2┬а=5/9 (F2┬атАУ 32)

= 5/9 (95 тАУ 32)

= 5/9 (63)

= 5 ├Ч 7

= 35o┬аC

тИ┤ The range oftemperature of the solution in degree Celsius is 30┬░ C and 35┬░ C.

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