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Decide the unit for specific heat capacity. - Science and Technology 1

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Question

Decide the unit for specific heat capacity.

Answer in Brief

Solution

  1. The amount of heat (Q) required to change the temperature of a substance is directly proportional to:
    a. the mass of the substance (m).
    b. change in temperature of the substance (ΔT).
    ∴ Q ∝ m and Q ∝ ΔT
    ∴ Q ∝ mΔT
    ∴ Q = cmΔT    ....(1)
    where ‘c’ is specific heat or specific heat capacity of a substance. From equation (1),
    c = `"Q"/("m" Delta "T")`    ....(2)
  2. SI unit:
    As SI unit of heat is J, mass is kg and change in temperature is °C, SI unit of specific heat capacity is J/kg °C
  3. C.G.S. unit:
    As CGS unit of heat is calorie, mass is g and change in temperature is °C, CGS unit of specific heat capacity is cal/g °C
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