Given, QV=kpTLα. . . (i) where, V,p,T and L are volume, pressure, time and length respectively and dimensional formula of [Q]=[ML−1T−1] [k]=[M0L0T0] As we know that, the dimensional formula of [V]=[M0L3T0] [p]=[ML−1T−2] [T]=[M0L0T1] [L]=[M0L1T0]α Now, put the dimensional formula of [Q],[V],[k], [p],[T] and [L] in Eq. (i), we get ⇒[Q][V]=[k][p][T][L]α ⇒[M−1T−1][M0L3T0]=[M0L0T0][ML−1T−2] [M0L0Tl][M0L1T0]α ⇒[ML2T−1]=[M0+1+0+0L0−1+0+αT0−2+1+0] ∴−1+α=2 ⇒α=3