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The one definition of an equivalent weight that I know is that it is the amount of electrons which a substance gains or loses per mole.

Al3+ has +3 charge therefore it loses 3 e-, so we can say that there are 3 equivalent weights in 1 mol Al3+. 
1 mol Al3+ = 3 eq. wts. 
1 mol Al x (27 g / 1 mol ) x (1 mol / 3 eq.wts.) = 9.0 g = 1 eq.wt. 

Answer:

5.0 g Al3+ x (1 eq.wt. / 9.0 g) = 0.56 eq.wts.

The number of equivalents present in 5 g of [tex]\rm Al^3^+[/tex] are 0.56.

Equivalent weight is the number of electrons gained or lost per mole by a material.

As [tex]\rm Al^3^+[/tex] has a +3 charge, it loses 3 electrons, resulting in 3 equivalent weights in 1 mol [tex]\rm Al^3^+[/tex].

1 mole [tex]\rm Al^3^+[/tex]= 3 equivalent weight [tex]\rm Al^3^+[/tex]

1 mole Al = 27 g

Number of equivalent = [tex]\rm \dfrac{27}{3}[/tex]

Number of equivalent = 9 in 1 mole.

27 grams = 9 equivalents

5 grams = 0.56 equivalent.

Thus, 5 grams of [tex]\rm Al^3^+[/tex]has been 0.56 equivalent.

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