2.00g of hydroxide of a metal gave 1.31g of its oxide. Calculate the equivalent weight of metal.?

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Answer

Calculation of Equivalent Weight of Metal

Given Data:

Weight of hydroxide of metal = 2.00g

Weight of oxide of metal = 1.31g

Solution:

Step 1: Calculating the Molecular Weight of Metal Oxide

The molecular weight of metal oxide can be calculated by adding the atomic weights of the metal and oxygen atoms present in it.

Molecular weight of metal oxide = Atomic weight of metal + Atomic weight of oxygen

For example, if the metal is calcium, then the molecular weight of its oxide (CaO) would be:

CaO = 40.08 (atomic weight of Ca) + 15.99 (atomic weight of O) = 56.07 g/mol

Step 2: Calculating the Number of Moles of Metal Oxide

The number of moles of metal oxide can be calculated by dividing its weight by its molecular weight.

Number of moles of metal oxide = Weight of metal oxide / Molecular weight of metal oxide

For example, if the weight of the metal oxide is 1.31g and its molecular weight is 56.07 g/mol, then:

Number of moles of metal oxide = 1.31g / 56.07 g/mol = 0.0234 moles

Step 3: Calculating the Number of Moles of Metal

The number of moles of metal can be calculated by multiplying the number of moles of metal oxide by the ratio of metal atoms to metal oxide molecules.

For example, if the metal oxide is CaO, then the ratio of Ca atoms to CaO molecules is 1:1. Therefore:

Number of moles of metal = Number of moles of metal oxide * Ratio of metal atoms to metal oxide molecules

Number of moles of metal = 0.0234 moles * 1 = 0.0234 moles

Step 4: Calculating the Equivalent Weight of Metal

The equivalent weight of metal can be calculated by dividing its atomic weight by the number of moles present in the given weight of hydroxide.

Equivalent weight of metal = Atomic weight of metal / Number of moles of metal

For example, if the weight of hydroxide of the metal is 2.00g and the metal is calcium, then:

Equivalent weight of calcium = 40.08 / 0.0234 = 1714.53 g/eq

Conclusion:

Therefore, the equivalent weight of the metal is 1714.53 g/eq.

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