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Home » A solution is to be kept between 30oC and 35oC. What is the range of temperature in degree Fahrenheit?
A solution is to be kept between 30oC and 35oC. What is the range of temperature in degree Fahrenheit?
CBSE | Class 11 | Exercise 15.4 | Linear Inequations | Maths | RD Sharma
A solution is to be kept between 30oC and 35oC. What is the range of temperature in degree Fahrenheit?

Solution:

Let us take C1 = 30o C and C2 = 35o

We know that the expression for relating celsius and faranheit degree is given by:

F = 9/5C + 32

Making use of the formula aove, we can write:

{{F}_{1}}~=\text{ }9/5\text{ }{{C}_{1}}~+\text{ }32

{{F}_{1}}~=\text{ }9/5\text{ }\times \text{ }30\text{ }+\text{ }32

{{F}_{1}}~=\text{ }9\text{ }\times \text{ }6\text{ }+\text{ }32

{{F}_{1}}~=\text{ }54\text{ }+\text{ }32

{{F}_{1}}~=\text{ }{{86}^{o}}~F

Now,

{{F}_{2}}~=\text{ }9/5\text{ }{{C}_{2}}~+\text{ }32

{{F}_{2}}=\text{ }9/5\text{ }\times \text{ }35\text{ }+\text{ }32

{{F}_{2}}=\text{ }9\text{ }\times \text{ }7\text{ }+\text{ }32

{{F}_{2}}=\text{ }63\text{ }+\text{ }32

{{F}_{2}}=\text{ }{{95}^{o}}~F

Therefore, the range of temperature of the given solution in degree Fahrenheit is 86° F and 95° F.

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