Calcium nitrate decomposes on heating according to the equation :
`2Ca(NO_3)_(2)to2CaO+4NO_(2)+O_(2)`
The relative molecular mass of calcium nitrate is 164. Calculate :
the volume of nitrogen dioxide `(NO_(2))` obtained at S.T.P. when 16.4 g of `Ca(NO_3)_(2)` is heated to constant weight

Explanation

To solve the problem step by step, we will follow the decomposition reaction of calcium nitrate and calculate the volume of nitrogen dioxide produced at standard temperature and pressure (STP).

### Step 1: Write the balanced chemical equation
The decomposition of calcium nitrate can be represented by the following balanced equation:
\[ 2 \text{Ca(NO}_3\text{)}_2 \rightarrow 2 \text{CaO} + 4 \text{NO}_2 + \text{O}_2 \]

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