All carbon atom present in `KH_(3)(C_(2)O_(4) )_(2).2H_(2)O` weighing 254 gm is converted to` CO_(2)`.How many gm of `CO_(2)` were obtained.

Answer

To solve the problem of how many grams of CO₂ are produced when all carbon atoms in `KH₃(C₂O₄)₂·2H₂O` weighing 254 grams are converted to CO₂, we can follow these steps:

### Step 1: Identify the number of carbon atoms in the compound
The compound `KH₃(C₂O₄)₂·2H₂O` contains oxalate ions (C₂O₄) which have 2 carbon atoms each. Since there are 2 oxalate ions in the formula, the total number of carbon atoms is:
\[ \text{Total Carbon} = 2 \text{ (from one oxalate)} \times 2 \text{ (number of oxalates)} = 4 \text{ carbon atoms} \]

### Step 2: Calculate the total mass of carbon in the compound
The molar mass of carbon (C) is approximately 12 g/mol. Therefore, the total mass of carbon in the compound is:
\[ \text{Mass of Carbon} = \text{Number of Carbon atoms} \times \text{Molar mass of Carbon} \]
\[ \text{Mass of Carbon} = 4 \text{ (carbon atoms)} \times 12 \text{ g/mol} = 48 \text{ g} \]

### Step 3: Determine the moles of the compound
Given that the total mass of the compound is 254 g and the molar mass of `KH₃(C₂O₄)₂·2H₂O` is also 254 g/mol, we can calculate the number of moles of the compound:
\[ \text{Moles of the compound} = \frac{\text{Mass of the compound}}{\text{Molar mass of the compound}} \]
\[ \text{Moles of the compound} = \frac{254 \text{ g}}{254 \text{ g/mol}} = 1 \text{ mole} \]

### Step 4: Relate moles of carbon to moles of CO₂ produced
From the stoichiometry of the reaction, we know that each mole of carbon produces one mole of CO₂. Therefore, if we have 4 moles of carbon, we will produce 4 moles of CO₂.

### Step 5: Calculate the mass of CO₂ produced
The molar mass of CO₂ is approximately 44 g/mol. Thus, the mass of CO₂ produced from 4 moles of CO₂ is:
\[ \text{Mass of CO₂} = \text{Moles of CO₂} \times \text{Molar mass of CO₂} \]
\[ \text{Mass of CO₂} = 4 \text{ moles} \times 44 \text{ g/mol} = 176 \text{ g} \]

### Final Answer
The total mass of CO₂ obtained is **176 grams**.

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