Specific heat of ideal gas depends upon:

  1. T
  2. 1/T
  3. √T
  4. does not depend on its temperature

Answer (Detailed Solution Below)

Option 4 : does not depend on its temperature
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CONCEPT:

  • Specific heat or specific heat capacity of a body is the amount of heat required for a unit mass of the body to raise the temperature by 1 degree Celsius.
    • It is denoted by “c” or “s”.
    • It is different for each substance.
    • Its unit is cal/g-°C in CGS and joule/g-K in the SI unit.
    • 1 calorie = 4.186 Joule.

s = (Q /m Δ t)

Where [s= specific heat of a substance, Q= Heat supplied to the object, m= mass of the substance, Δ t = change in temperature].

CALCULATION:

  • As the specific heat of a gas is the heat required for the unit mass of the body to raise the temperature by unit degree celsius.
  • So it is independent of the temperature of the gas.
  • Hence option 4 is correct.
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