Question

Convert 223K to Celsius scale:
(A) $-{{25}^{o}}C$
(B) $-{{35}^{o}}C$
(C) $-{{50}^{o}}C$
(D) $-{{60}^{o}}C$

Answer 1

Hint: Temperature conversion formula useful to change the temperature from unit to another unit. There are many temperature units available. When a system changes heat with surroundings then temperature change is observed. Because when heat increases, the gas molecules kinetic energy increases which are directly proportional to temperature.

Complete step by step solution:
Among the more types of temperature conversion methods, four types of temperature units are the most commonly used methods.
(1) centigrade scale
(2) Kelvin scale
(3) Fahrenheit scale
(4) Rankine scale
Centigrade scale or Celsius scale: this is based on the 100-degree division between the freezing point and boiling point of water as water freezes at ${{0}^{o}}C$ and the boiling point of water at ${{100}^{o}}C$ This celsius scale sometimes referred to as the centigrade scale.
Kelvin scale: this scale is adopted from the Celsius scale which falls to a negative temperature at absolute zero $-{{273.15}^{o}}C$ which is referred to as 0K. This is known as the Kelvin temperature. According to the Kelvin, scale water freezes at 273.15 K and boils at 373.15K as conversion Celsius to Kelvin by adding 273.15 to Celsius temperature.
The temperature conversion formula from Celsius to kelvin scale, K=C + 273.15 – (1)
The temperature conversion formula from Kelvin to Celsius scale, C = K - 273.15 – (2)
Given, convert 223K to Celsius scale,
To solve the above conversion, use equation (2) , C = 223-273.15 = $-{{50}^{o}}C$

So the correct answer is option C.

Note: The Fahrenheit scale of temperature common form of temperature referred to water freezes at ${{32}^{o}}F$ and boils at ${{212}^{o}}F$. this temperature scale includes negative values at absolute zero $-{{459.67}^{o}}F$ . Rankine scale gives as absolute zero-based equivalent to the Fahrenheit scale, which converts to the Rankine scale by adding 459.67. Absolute zero is located at ${{0}^{o}}R$. According to the Rankine scale, water freezes at ${{497.67}^{o}}F$ and boils at ${{671.67}^{o}}F$.