The temperature of lower fixed point, and upper fixed point, on the Fahrenheit scale is ____oF and ____oF.

Question

Infinity Learn · Accepted Answer

Concept- The temperature of lower fixed point, and upper fixed point, on the Fahrenheit scale is 32oF and 212oF. The melting point of ice (the solid state of water) , which is equivalent to the lower fixed point,

and the upper fixed point is defined as the boiling point of water and it is equal to

. These temperatures will be converted from degrees Celsius to degrees Fahrenheit in this section. The formula: can be used to do this.

We shall address each component of our problem separately. Let's begin by resolving the first component.
(i) It is equivalent to the lowest fixed point

. Let this temperature be denoted by '

' in degree Celsius and '

' in degrees Fahrenheit.
Now, we can apply the formula to convert any Celsius temperature to a Fahrenheit value. Here's how to go about it:

Now, putting the value of '

' in above equation and solving for '

', we get:

As a result, the temperature of the lower fixed point is

(ii) The upper fixed point is equal to

. Let this temperature be denoted by '

' in degree Celsius and '

' in degrees Fahrenheit.
We can now apply the algorithm to convert any Celsius temperature to Fahrenheit. The way to do this is as follows:

Now, putting the value of '

' in above equation and solving for '

', we get:

As a result, the temperature of the top fixed point is

.
Hence, the temperature of (i) lower fixed point, and (ii) upper fixed point, on the Fahrenheit scale comes out to be

and

respectively.
Hence, the answer is 32,212 oF.

The temperature of lower fixed point, and upper fixed point, on the Fahrenheit scale is oF and oF.

Start JEE / NEET / Foundation preparation at rupees 99/day !!

Detailed Solution

tricks from toppers of Infinity Learn

Get Expert Academic Guidance – Connect with a Counselor Today!