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Fe(0.94) O to Fe^(3+), the equivalent ma...

`Fe_(0.94) O to Fe^(3+)`, the equivalent mass of `Fe_(0.94)O` will be:

A

`("mol. Mass")/(2)`

B

`("mol.mass")/(3)`

C

`(3xx " mol. Mass)/(8)`

D

`("mol.mass")/(0.87)`

Text Solution

AI Generated Solution

The correct Answer is:
To find the equivalent mass of Fe₀.94O when it is converted to Fe³⁺, we need to follow these steps: ### Step 1: Determine the oxidation state of iron in Fe₀.94O In the compound Fe₀.94O, we know that the oxidation state of oxygen (O) is -2. Let the oxidation state of iron (Fe) be x. Since the compound is neutral, we can set up the following equation: \[ 0.94x + (-2) = 0 \] ### Step 2: Solve for the oxidation state of iron Rearranging the equation gives us: \[ 0.94x = 2 \] Now, solving for x: \[ x = \frac{2}{0.94} \approx 2.127 \] ### Step 3: Calculate the change in oxidation state The change in oxidation state when Fe goes from 2.127 to 3 can be calculated as: \[ \text{Change in oxidation state} = 3 - 2.127 = 0.873 \] ### Step 4: Determine the molar mass of Fe₀.94O To find the molar mass of Fe₀.94O, we need to calculate the contributions from iron and oxygen: - Molar mass of Fe = 55.85 g/mol - Molar mass of O = 16.00 g/mol Calculating the molar mass: \[ \text{Molar mass of Fe}_{0.94}\text{O} = (0.94 \times 55.85) + (1 \times 16.00) \] \[ = 52.5 + 16.00 = 68.5 \text{ g/mol} \] ### Step 5: Calculate the equivalent mass The equivalent mass is given by the formula: \[ \text{Equivalent mass} = \frac{\text{Molar mass}}{n} \] Where n is the change in oxidation state, which we found to be 0.873. Thus, we can calculate the equivalent mass: \[ \text{Equivalent mass} = \frac{68.5}{0.873} \approx 78.5 \text{ g/equiv} \] ### Final Answer The equivalent mass of Fe₀.94O when converted to Fe³⁺ is approximately **78.5 g/equiv**. ---
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