Find the units and dimensions of constants ‘a’ and ‘b’ in the van der Waal’s equations (+/^2)(−)= Where P is pressure, V is volume and T is temperature.
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Explanation:
▪️We can add and structure only like quantities.
▪️⇒ Dimensions of P = Dimensions of V2a ...... (i)
▪️ and dimension of V = Dimensions of b ............ (ii)
▪️From (i),
▪️Dimensions of a = Dimensions of P× Dimensions of V2[a]
Dimensions of a = Dimensions of P× Dimensions of V2[a] ▪️ =[M1L−1T−2]×[L3]2
=[M1L−1T−2]×[L3]2 ▪️ =[M1L5T−2]
▪️Unit of a= Unit of p×Unitofv2
Unit of a= Unit of p×Unitofv2 ▪️ =m2N×m6=Nm4
▪️From (ii), [b] = [V]=[M0L3T0]
▪️So unit of b = Unit of V = m3
Hopes it help you❤️❤️
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