Question

The temperature of a hydrogen gas in a vessel is increased by 10° C. The corresponding rise in temperature of the gas on Kelvin scale is________.
1. 373K
2. 283 K
3. 10 K
4. 363 K

Answer 1

Correct Answer - Option 3 : 10 K

CONCEPT:

Celsius scale:

• In this scale, a lower fixed point (ice point) is designated as 0° and the upper fixed point (steam point) is designated as 100°.
• The temperature measured on this scale was all in degrees Celsius (° C).

Fahrenheit scale:

• On this scale of the temperature scale, the melting point of ice is considered to be 32° F and the boiling point of water is 212° F.
• The change in temperature of 1° F corresponds to a change of less than 1° C on the Celsius scale.

Kelvin scale:

• We also know the Kelvin temperature scale as the thermodynamic scale. 
• On the Kelvin scale, the boiling point of water is considered to be 373.15 K and its freezing point is 273.15 K.
• It is assumed that at 0 K there is no relative motion of particles,
• The change in temperature of 1° K corresponds to a change of less than 1° C on the Celsius scale.
• Whereas all these units of temperatures are related to each other by the following relationship:

\(⇒ \frac{{F - 32}}{9} = \frac{C}{5} = \frac{{K - 273.15}}{5}\)

CALCULATION:

Given  - T = 10⁰C

• Since the number of divisions in both scales, that is in Kelvin scale and degree Celsius scale is 100, so there will be an equal change in both scales.
• And each degree change in the Centigrade scale equals a similar change in the Kelvin scale of measurement.
• Thus, the corresponding rise in temperature of the gas on the Kelvin scale is 10 K. Hence, option 2 is the answer