Calculating the Equivalent Weight of a Metal Hydride

To calculate the equivalent weight of a metal hydride, we need to consider the molar mass of the metal hydride and the amount of hydrogen it contains. The equivalent weight is defined as the mass of the substance that reacts with or replaces one mole of hydrogen ions (H+).

Given:
Mass of metal hydride = 0.84 g
Mass of hydrogen = 0.042 g

Step 1: Calculate the number of moles
To calculate the number of moles, we use the following formula:

Number of moles = Mass / Molar mass

The molar mass of a compound is the sum of the atomic masses of all the atoms in its chemical formula.

In this case, we need to determine the molar mass of the metal hydride. Let's assume the metal is represented by the symbol "M" and the formula for the metal hydride is MHx.

Step 2: Determine the molar mass of the metal hydride
To determine the molar mass, we need to know the atomic mass of the metal and the atomic mass of hydrogen.

Let's assume the atomic mass of the metal (M) is A and the atomic mass of hydrogen is B.

The molar mass of the metal hydride (MHx) can be calculated using the formula:

Molar mass of MHx = A + (x * B)

Step 3: Calculate the number of moles of hydrogen
Using the given mass of hydrogen (0.042 g) and the molar mass of hydrogen (B), we can calculate the number of moles of hydrogen using the formula:

Number of moles of hydrogen = Mass of hydrogen / Molar mass of hydrogen

Step 4: Calculate the equivalent weight
The equivalent weight is defined as the mass of the substance that reacts with or replaces one mole of hydrogen ions (H+).

Since 1 mole of hydrogen reacts with 1 mole of the metal hydride, the equivalent weight is equal to the molar mass of the metal hydride.

Therefore, the equivalent weight can be calculated using the formula:

Equivalent weight = Molar mass of MHx

Step 5: Substitute the values into the equations
Let's substitute the given values into the equations and calculate the equivalent weight.

Number of moles of hydrogen = 0.042 g / (Molar mass of hydrogen)
Number of moles of hydrogen = 0.042 g / (1 g/mol) = 0.042 mol

Molar mass of MHx = A + (x * B)

Since we don't have specific values for the atomic mass of the metal (A) and the atomic mass of hydrogen (B), we cannot calculate the molar mass of the metal hydride (MHx) or the equivalent weight.

Therefore, without specific values for A and B, we cannot determine the equivalent weight of the metal hydride.

E = 0.84× 1.008/0.042
= nearly answer will be 20