Question #63229

what volume of Hydrochloric acid can be used in 25cm3 of Sodium Carbonate

Expert's answer

Answer on Question #63229, Chemistry / Inorganic Chemistry

What volume of Hydrochloric acid can be used in 25cm325\mathrm{cm}^3 of Sodium Carbonate?

Solution:

Balanced equation:


Na2CO3+2HCl2NaCl+H2O+CO2\mathrm{Na_2CO_3} + 2\mathrm{HCl} \rightarrow 2\mathrm{NaCl} + \mathrm{H_2O} + \mathrm{CO_2}


Molar mass of Na2CO3=106 g mol1\mathrm{Na_2CO_3} = 106\ \mathrm{g\ mol^{-1}}

ρ(Na2CO3)=2.54 g/cm3m=ρV=25 cm3×2.54 g/cm3=63.5 g\begin{array}{l} \rho \left(\mathrm{Na_2CO_3}\right) = 2.54\ \mathrm{g/cm^3} \\ m = \rho V = 25\ \mathrm{cm^3} \times 2.54\ \mathrm{g/cm^3} = 63.5\ \mathrm{g} \\ \end{array}


Under normal conditions, the molar volume of any gas is 22.4 L/mol22.4\ \mathrm{L/mol}

x/22.4 L mol1=63.5 g/106 g mol1x=63.5 g×22.4 L mol1/106 g mol1=13.4 L=13400 cm3\begin{array}{l} x / 22.4\ \mathrm{L\ mol^{-1}} = 63.5\ \mathrm{g} / 106\ \mathrm{g\ mol^{-1}} \\ x = 63.5\ \mathrm{g} \times 22.4\ \mathrm{L\ mol^{-1}} / 106\ \mathrm{g\ mol^{-1}} = 13.4\ \mathrm{L} = 13400\ \mathrm{cm^3} \\ \end{array}

Answer: 13.4 L

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