At what temperature will the Fahrenheit scale reading is twice the Celsius reading?

At what temperature will the Fahrenheit scale reading is twice the Celsius reading

Short answer: 160 °C.

At 160 °C, the Fahrenheit value is numerically double than that of the Celsius value.

Mathematically, 160 °C = 320 °F

First of all, what does “Fahrenheit scale reading is twice the Celsius reading” mean?

Well, mathematically Fahrenheit scale reading is twice the Celsius reading means that,

Fahrenheit value = 2 times celsius value

Fahrenheit value = 2 * celsius value

You might have seen such numerical problems in your school days. Isn’t it?

Symbolically we can write as;

Temperature in °F = 2 (Temperature in °C)

That means, if temperature in celsius is 40, then temperature in fahrenheit should be 2*40, i.e 80.

(Note: 40 °C is not equal to 80 °F. But it is just an explanation of the above statement.)

Now coming to the main point. You have got the answer that 160 °C = 320 °F. 

That means, at this temperature, the fahrenheit value is numerically double the celsius value.

Here is a proof for the same.

The celsius to fahrenheit conversion equation is given by the formula;

Fahrenheit = (Celsius * 1.8) + 32    …… (1)

Now, we have to find the value of temperature at which the fahrenheit value will be twice that of the celsius value.

So mathematically, we can write this as;

Fahrenheit  = 2 (Celsius)    …… (2)

This is a simple mathematical formulation which you might know from your school days.

Further, from both these equations, we have to find the temperature at which the fahrenheit value will be doubled that of celsius value.

Hence replacing the value of second equation in the above first equation, we get;

Fahrenheit = (Celsius * 1.8) + 32

2 (Celsius) = (Celsius * 1.8) + 32

2 (Celsius) = (Celsius * 9/5) + 32

2 * 5 (Celsius) = (9 Celsius) + 32 * 5

10 (Celsius) – (9 Celsius) = 160

Celsius = 160

Hence the celsius value is 160 °C.

Finally we can say that, at 160 °C, the value of fahrenheit temperature will be twice that of celsius value.

Mathematically, 

Fahrenheit  = 2 (Celsius)

So, Fahrenheit  = 2 (160)

Fahrenheit  = 320

Hence, 160 °C = 320 °F

Use this simple celsius to fahrenheit converter to verify the value.

Why is the Celsius scale more commonly used?

Why is the Celsius scale more commonly used

You already know that there are mainly three temperature scales used nowadays.

They are:

  • Celsius scale
  • Fahrenheit scale and 
  • Kelvin scale 

Yes there are also some other temperature units like rankine scale, reaumur scale, planck temperature, degree newtons, degree delisle, etc.

But have you wondered why the celsius scale is widely used?

There are few reasons behind the wide use of the celsius scale.

  • Most of the temperatures of our day to day life are between 0 degree celsius to 100 degree celsius.

Also taking water as a standard, the freezing point of water is set as 0 degree celsius and boiling point is set as 100 degree celsius.

Because of this reason, the celsius is a widely used temperature unit.

  • Celsius values are comparable by us:

We know that water freezes at 0 degree celsius and it boils at 100 degree celsius. So if we want to know what will be the hotness of the substance at 50 degree celsius, then we can easily imagine that the hotness will be between the cold ice and hot boiling water.

Right now our body temperature is around 37 or 38 degree celsius. So we can easily imagine what will be the hotness of the temperature will be 45 degree celsius.

This way we can easily compare the temperature of the objects using the celsius values. 

Such comparison is not imaginable for kelvin scale or fahrenheit scale.

Hence celsius scale is widely used.

  • Using the celsius scale with the kelvin scale is also easier. 

The celsius scale and kelvin scale have a difference of 273. (K = °C +273).

This becomes very easy for calculations also and such easy calculations are not possible with the Fahrenheit scale.

Hence celsius scale is widely used.

How is temperature difference calculated? (With solved problems)

Let us understand this with a simple example.

Imagine that you have water in a vessel at 25 degree celsius. 

Now you heat that water and the temperature rises to 70 degree celsius. So what will be the temperature difference? (or what will be the rise in temperature of the water?)

This is very easy to calculate. 

You have to take the final temperature of the water and subtract the initial value from it, so you will easily get the rise in temperature.

Mathematically,

Difference in temperature = final temperature – initial temperature

So, difference in temperature = 70 degree celsius – 25 degree celsius

That is equal to 45 degree celsius.

Hence the rise in temperature of water is 45 degree celsius.

Facts about celsius

The facts about celsius scale are mentioned below.

  • Water freezes at 0 degree celsius
  • Water boils at 100 degree celsius
  • The coldest possible temperature is -273.15 degree celsius.
  • Your body temperature is around 37 degree celsius right now (if you do not have fever).

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