Another one Mr — let's solve it.
Step 1: Write the balanced chemical equation.
The reaction between sodium carbonate (Na2CO3) and sulphuric acid (H2SO4) is:
Na2CO3(aq)+H2SO4(aq)→Na2SO4(aq)+H2O(l)+CO2(g)
From the balanced equation, the mole ratio of Na2CO3 to H2SO4 is 1:1.
Step 2: Calculate the moles of sodium carbonate.
Given:
Volume of Na2CO3=20cm3=0.020dm3
Molarity of Na2CO3=0.1 M
Moles of Na2CO3=Molarity×Volume
MolesofNa2CO3=0.1mol/dm3×0.020dm3=0.002mol
Step 3: Determine the moles of sulphuric acid.
Since the mole ratio of Na2CO3 to H2SO4 is 1:1, the moles of H2SO4 reacted are equal to the moles of Na2CO3.
MolesofH2SO4=0.002mol
Step 4: Calculate the molarity of sulphuric acid.
Given:
Volume of H2SO4=13cm3=0.013dm3
Molarity of \text{H}_2SO_4 = \frac{Moles of H_2SO_4}{Volume of H_2SO_4 (in dm^3)} $$
$$ Molarity of H_2SO_4 = \frac{0.002 mol}{0.013 dm^3} \approx 0.1538 M $$
Rounding to three significant figures:
$$ Molarity of H_2SO_4 \approx 0.154 M $$
The molarity of the sulphuric acid used is \boxed{0.154 M}$.
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