Explanation:
Molar mass of a compound is the sum of the molar mass of all the atoms of the compound.
⇒ Molar mass of the Nickel Compound (Hydrated Nickel (II) Nitrate)
= Molar mass (Ni+ 2N + 6O)+ x (2H+ O)
= [58.693 + 2(14.007) + 6(15.999)] + x [2(1.008) + 15.999] g/mol
= (182.701 + 18.015x) g/mol
Since the molar mass is known to be 290.7 g/mol
then 182.701 + 18.015x = 290.7
⇒ 18.015x = 290.7 - 182.701
x = (290.7 - 182.701) ÷ 18.015
∴ x = 6 [conventionally expressed as a whole number]
that makes the compound Nickel Nitrate Hexahydrate
The value of x in the hydrated compound of nickel nitrate with molecular mass 290.7 g/mol is 6.
Molecular mass can be defined as the sum of the mass of each element in the compound.
The molecular mass of the given compound is 290.7 g/mol. The value of x in the compound can be given as;
[tex]\rm 290.7\;g/mol=2(Ni)+2(N)+2(3O)+x(2H+O)[/tex]
Substituting the mass of N, Ni, O and H for the calculation of x as:
[tex]\rm 290.7\;g/mol=(58.693)+2(14.007)+2(3(15.999))+x(2(1.008)+15.999)\\290.7=182.701+18.015x\\x=6[/tex]
The value of x in the hydrated compound of nickel nitrate is 6.
Learn more about molecular mass, here:
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