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Question: What does conversion of \(475K\) into celsius scale does? A. \({301.85^ \circ }C\) B. \({273^ \c...

What does conversion of 475K475K into celsius scale does?
A. 301.85C{301.85^ \circ }C
B. 273C{273^ \circ }C
C. 207C{207^ \circ }C
D. 201.85C{201.85^ \circ }C

Explanation

Solution

Unit to measure temperature is Clecius, kelvin and Fahrenheit. The conversion of these units is as: Between celsius and kelvin 0C+273.15=273.15K{0^ \circ }C + 273.15 = 273.15K. The temperature 40C - {40^ \circ }C is the same as 40K - 40K.

Complete step by step solution:
First of all let us talk about some physical quantities and their units.
Pressure: It is defined as force applied perpendicular to an object per unit area. Unit of pressure is as: We know that the unit of force is newton (NN) and unit of area is m2{m^2}. So the unit of pressure is N/m2N/{m^2}.
Temperature: It is used to measure the warmth or coldness of an object with reference to the standard value. For example: The normal temperature of human body is 98.6F98.6F. Unit to measure temperature is Clecius, kelvin and Fahrenheit. The conversion of these units is as: Between celsius and kelvin 0C+273.15=273.15K{0^ \circ }C + 273.15 = 273.15K. Hence, we can say that zero celsius means 273.15K273.15K. And the conversion of Fahrenheit and celsius is as: temperature in celsius multiply by 95\dfrac{9}{5} plus 3232 is equal to temperature in Fahrenheit i.e. C×95+32=F^ \circ C \times \dfrac{9}{5} + 32 = F. Hence we can say that zero Celsius means 32F{32^ \circ }F. Now, if we want to know the temperature at which Celsius and Fahrenheit are the same.

Then, we can calculate it as:

Let the temperature be xx then,
x×95+32=x 9x+160=5x 4x=160 x=40  \Rightarrow x \times \dfrac{9}{5} + 32 = x \\\ \Rightarrow 9x + 160 = 5x \\\ \Rightarrow 4x = - 160 \\\ \Rightarrow x = - 40 \\\ .
Hence, we can say that at 40F - {40^ \circ }F the temperature is the same as 40C - {40^ \circ }C. And similarly 0C{0^ \circ }C temperature is the same as 273.15K273.15K.
Now, in the question we are given the temperature in the kelvin unit and we have to find the temperature in the celsius unit. When we have to convert celsius to kelvin then we have to add 273.15273.15 to the celsius unit. And if we want to convert kelvin to celsius then we have to subtract 273.15273.15 from the kelvin unit. Hence, if we have to do conversion of 475K475K into celsius scale then subtract 273.15273.15 from the kelvin i.e.
C=475273.15 C=201.85C  \Rightarrow ^ \circ C = 475 - 273.15 \\\ \Rightarrow ^ \circ C = {201.85^ \circ }C \\\ .

Hence, option D is correct.

Note: Volume is defined as the space of three dimensional structure. For example: the volume of a cube is defined as the cube of its edge length. It is measured in m3{m^3} or cm3c{m^3} and 1m=100cm1m = 100cm. And the volume of the sphere is as: 43πr3\dfrac{4}{3}\pi {r^3} where rr is radius of the sphere.