Given below are two statements : Statement (I) : Dimensions of specific heat is [ L ^2 ~T ⁻² ~K ⁻¹ ] . Statement (II) : Dimensions of gas constant is [ M L ^2 ~T ⁻¹ ~K ⁻¹ ] . In the light of the above statements, choose the most appropriate answer from the options given below.

Step-by-step solution

aligned & Q = mS T & s = Q m T & [ s ]= [ ML ^2 ~T ⁻² MK ] & [ s ]= [ L ^2 ~T ⁻² ~K ⁻¹ ] aligned Statement-(I) is correct aligned & PV = nRT R = PV nT & [ R ]= [ ML ⁻¹ ~T ⁻² ] [ L ^3 ] [ mol ][ K ] & [ R ]= [ ML ^2 ~T ⁻² ~mol ⁻¹ ~K ⁻¹ ] aligned Statement-II is incorrect