Question

Convert \[{75^\circ}C\] into (a) Kelvin (b) \[{\;^ \circ }F\]

Answer 1

Hint: Celsius: It is the measuring quantity for temperature. It is also called a centigrade.
Kelvin: It is the base unit of temperature in the International System of Units (SI).
Fahrenheit: It is the scale of temperature.
One degree of Celsius scale is \[1.8\] times larger than one degree of the Fahrenheit scale.
The average temperature of the human body is \[{37^ \circ }C\] or \[{98.6^ \circ }F\].
The change in pressure, the volume of a gas increases proportionally to the Kelvin scale.

Complete step-by-step answer:
The relation between the Celsius scale and Kelvin scale is given by, ${{\text{T}}_{({\text{K)}}}} = {{\text{T}}_{({\text{C)}}}} + 273.15$
The relation between the Celsius scale and Fahrenheit scale is given by, ${{\text{T}}_{({\text{F)}}}} = {{\text{T}}_{({\text{C)}}}}{\text{x}}\dfrac{9}{5} + 32$
Now, converting \[{75^ \circ }C\] into Kelvin scale using the equation, ${{\text{T}}_{({\text{K)}}}} = (75 + 273.15){\text{K}}$$ = 348.15{\text{K}}$
 Now, converting \[{75^ \circ }C\] into Fahrenheit scale using the equation, ${{\text{T}}_{({\text{F)}}}} = {(75{\text{x}}\dfrac{9}{5} + 32)^\circ}{\text{F}}$$ = {167^\circ}{\text{F}}$

Hence the answer is \[\left( i \right){\text{ }}{75^ \circ }C\] into Kelvin scale is $348.15{\text{K}}$
\[\left( {ii} \right){\text{ }}{75^ \circ }C\] into Fahrenheit scale is ${167^ \circ }{\text{F}}$

Note: For measuring the temperature on the Celsius scale first we have to multiply the Celsius temperature by \[1.8\].
Celsius scale is used at mobile places to keep a track of the temperature.
Celsius scale is used to control the switching of loads like heaters, motors.
Kelvin scale is used for reading the very low temperature of the liquid helium and the liquid nitrogen.
The zero point in the Celsius scale defines the freezing point.
The zero point in the Kelvin scale defines the absolute zero.
The zero point in the Fahrenheit scale defines \[{32^ \circ }F\].
The boiling point of water on the Celsius scale is observed at \[{100^ \circ }C\].
The boiling point of water on the Fahrenheit scale is measured at \[\;{212^ \circ }F\].
 The absolute zero of the Celsius scale is at \[ - {273.15^ \circ }C\].
The absolute zero of the Fahrenheit scale is at \[ - {459.67^ \circ }F\].