Dimension of specific heat ar
Answers
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Answer:
We know that Q= ms dT
( where Q= heat, m= mass, s= specific heat, dT= change in temperature )
Now, s= Q/ m.dT
Q= heat energy= a form of energy, therefore, it will have the same dimensions as work.
Work= F. l = ma. l ( where a = acceleration, l = distance )
a= v/t= l/t²= l. t⁻² ( where v= velocity, t= time )
Now, work= m.l t⁻².l= m. l². t⁻²
This is also Q.
Let us now place these dimensions in our main equation.
s= m l² t⁻²/ m. K ( as the SI unit of temperature is Kelvin )
s= M⁰ L² T⁻² K⁻¹
[ Note: To write dimensions, we need to convert all the given units in terms of the basic units of mass, length and time. There are certain units for which this is not possible. These are temperature ( K ) and current ( A for ampere).]