The temperature of a substance increases by 27°C. On the Kelvin scale this increase is equal to-

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UP TGT Science 2011 Official Paper (held on 2016)
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  1. 300 K
  2. 2.46 K
  3. 27 K
  4. 7 K

Answer (Detailed Solution Below)

Option 3 : 27 K
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Concept:

Celsius scale:

  • In this scale lower fixed point (ice point) is taken  and upper fixed point  (steam point) is taken 100°.
  • The temperature measured on this scale all in degree Celsius (°C).

Fahrenheit scale:

  • This scale of temperature has lower fixed point (ice point) as 32° F and upper fixed point  (steam point)as 212° F.
  • The change in temperature of 1° F corresponds to a change of less than 1° on Celsius scale.

Kelvin scale:

  • The Kelvin temperature scale is also known as thermodynamic scale. The triple point of water is also selected to be the zero of scale of temperature.
  • The temperatures measured on this scale are in Kelvin (K).

All these temperatures are related to each other by the following relationship –

 

Calculation:

T(K) = T(°C) + 273

Let T1 = a1 °C = (a1 + 273) K

T2 = a2 °C = (a2 + 273) K

Change in temperature:

T2 - T1 = (a2 - a1)°C = (a2 - a1) K

Temperature change in Celsius scale = Temperature change in Kelvin scale = 27 K

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