Question

The temperature of a gas is increased by 27^∘C. Then what is the equivalent increase on Kelvin scale is
1. 27 K
2. 273.9 K
3. 102 K
4. 30 K

Answer 1

Correct Answer - Option 1 : 27 K

The correct answer is option 1) i.e. 27 K

CONCEPT:​

• Celsius scale is based on the freezing point of water at 0°C and the boiling point of water at 100°C.
  • The region between these two temperatures is divided into 100 equal parts i.e. each part equals 1°C.
  • The absolute zero value is at -273.15°C.
• Kelvin scale is a temperature scale that is based on the freezing point of water at 273K and the boiling point of water at 373K.
  • The region between these two temperatures is divided into 100 equal parts i.e. each part equals 1K.
  • The absolute zero value is at 0K.

Temperature conversion formulas:

	to Celsius	to Kelvin
Celsius	°C	°C + 273.15
Kelvin	K - 273.15	K

EXPLANATION:

Given - Temperature change (ΔT) = 27∘C

• Let T₁ and T₂ be the two temperatures in degrees Celsius. On Celsium scale:

⇒ ΔT = (T₂ - T₁)°C

• On Kelvin scale: 

⇒ ΔT = (T2 + 273.15) - (T1 + 273.15) = (T2 - T1) K

• Therefore, the equivalent increase on Kelvin scale is 27 K.

• The change in temperature ΔT will have the same numerical value on both the Celsius and Kelvin scale.