By the use of dimensions show that , energy per unit volume is equal to pressure
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Firstly, dimension of energy is : [ML^2T^−2]
dimension of volume : [L^3]
dimension of pressure : [L^-1M T^-2]
Now, energy / volume = [ML^2T^−2] / [L^3] = [L^-1M T^-2] which is equal to the dimension of pressure. Hence proved.
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