Question
Download Solution PDFThe 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________.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
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 3 is the answer
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