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According to this law a reactant will produce same no of equivalent of product/s as its reacting mass has.
here the equivalent mass of $CuCl_2$ = Formula wt /total valency of metal(Cu) = $(63.55+2*35.55)/(1*2)$ =67.33
Again
the equivalent mass of $AlCl_3$ = Formula wt /total valency of metal(Al) = $(27+3*35.55)/(1*3)$ =44.55
Now no. of gram equivalent in 10.53g of $CuCl_2$ reacted = $10.53/67.33$=0.156
hence the same no.of gram equivalent of $AlCl_3$ will be produced
So the mass of $AlCl_3$ produced =0.156x equivalent mass of $AlCl_3$ 0.156x44.55 = 6.95 g

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