Question

Dimension of specific heat capacity

Answer 1

Answer:

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Explanation:

Heat Energy(Q) = m × c × Δt

where, m = mass of the body, c = specific heat capacity and Δt is the change in temperature.

∴ c = Q/mΔt

Unit of Heat = Joule.

= N × m.

= kg ms⁻² × m

= kg m² s⁻²

∴ Dimension of Q = M L² T⁻²

Now, Let us finding the Dimensions of Specific Heat Capacity.

∴ [c] = (M L² T⁻²) ÷ (M K)

[Since, the Dimension of Temperature is K]

  [c] = L² T⁻² K⁻¹

Hence, the Dimensions of Specific Heat Capacity c is L² T⁻² K⁻¹.