
What does conversion of $475K$ into celsius scale does?
A. ${301.85^ \circ }C$
B. ${273^ \circ }C$
C. ${207^ \circ }C$
D. ${201.85^ \circ }C$
Answer
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Hint: Unit to measure temperature is Clecius, kelvin and Fahrenheit. The conversion of these units is as: Between celsius and kelvin ${0^ \circ }C + 273.15 = 273.15K$. The temperature $ - {40^ \circ }C$ is the same as $ - 40K$.
Complete step by step solution:
First of all let us talk about some physical quantities and their units.
Pressure: It is defined as force applied perpendicular to an object per unit area. Unit of pressure is as: We know that the unit of force is newton ($N$) and unit of area is ${m^2}$. So the unit of pressure is $N/{m^2}$.
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 $98.6F$. Unit to measure temperature is Clecius, kelvin and Fahrenheit. The conversion of these units is as: Between celsius and kelvin ${0^ \circ }C + 273.15 = 273.15K$. Hence, we can say that zero celsius means $273.15K$. And the conversion of Fahrenheit and celsius is as: temperature in celsius multiply by $\dfrac{9}{5}$ plus $32$ is equal to temperature in Fahrenheit i.e. $^ \circ C \times \dfrac{9}{5} + 32 = F$. Hence we can say that zero Celsius means ${32^ \circ }F$. Now, if we want to know the temperature at which Celsius and Fahrenheit are the same.
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 ($N$) and unit of area is ${m^2}$. So the unit of pressure is $N/{m^2}$.
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 $98.6F$. Unit to measure temperature is Clecius, kelvin and Fahrenheit. The conversion of these units is as: Between celsius and kelvin ${0^ \circ }C + 273.15 = 273.15K$. Hence, we can say that zero celsius means $273.15K$. And the conversion of Fahrenheit and celsius is as: temperature in celsius multiply by $\dfrac{9}{5}$ plus $32$ is equal to temperature in Fahrenheit i.e. $^ \circ C \times \dfrac{9}{5} + 32 = F$. Hence we can say that zero Celsius means ${32^ \circ }F$. 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 $x$ then,
$
\Rightarrow x \times \dfrac{9}{5} + 32 = x \\
\Rightarrow 9x + 160 = 5x \\
\Rightarrow 4x = - 160 \\
\Rightarrow x = - 40 \\
$.
Hence, we can say that at $ - {40^ \circ }F$ the temperature is the same as $ - {40^ \circ }C$. And similarly ${0^ \circ }C$ temperature is the same as $273.15K$.
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 $273.15$ to the celsius unit. And if we want to convert kelvin to celsius then we have to subtract $273.15$ from the kelvin unit. Hence, if we have to do conversion of $475K$ into celsius scale then subtract $273.15$ from the kelvin i.e.
$
\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 ${m^3}$ or $c{m^3}$ and $1m = 100cm$. And the volume of the sphere is as: $\dfrac{4}{3}\pi {r^3}$ where $r$ is radius of the sphere.
$
\Rightarrow x \times \dfrac{9}{5} + 32 = x \\
\Rightarrow 9x + 160 = 5x \\
\Rightarrow 4x = - 160 \\
\Rightarrow x = - 40 \\
$.
Hence, we can say that at $ - {40^ \circ }F$ the temperature is the same as $ - {40^ \circ }C$. And similarly ${0^ \circ }C$ temperature is the same as $273.15K$.
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 $273.15$ to the celsius unit. And if we want to convert kelvin to celsius then we have to subtract $273.15$ from the kelvin unit. Hence, if we have to do conversion of $475K$ into celsius scale then subtract $273.15$ from the kelvin i.e.
$
\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 ${m^3}$ or $c{m^3}$ and $1m = 100cm$. And the volume of the sphere is as: $\dfrac{4}{3}\pi {r^3}$ where $r$ is radius of the sphere.
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