20 g mixture of `Na_(2)CO_(3)` and `CaCO_(3)` is gently heated. On heating this sample produces 2.24 litre of `CO_(2)` at STP. Calculate the % weight of `Na_(2)CO_(3)` in that sample.

Explanation

To solve the problem step by step, we will follow these calculations:

### Step 1: Understand the reaction
When the mixture of sodium carbonate (Na₂CO₃) and calcium carbonate (CaCO₃) is heated, only calcium carbonate decomposes to produce carbon dioxide (CO₂) and calcium oxide (CaO). The reaction is:
\[ \text{CaCO}_3 \rightarrow \text{CaO} + \text{CO}_2 \]

### Step 2: Calculate the number of moles of CO₂ produced
We are given that 2.24 liters of CO₂ is produced at STP (Standard Temperature and Pressure). At STP, 1 mole of gas occupies 22.4 liters. Therefore, we can calculate the number of moles of CO₂ produced using the formula:
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