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1 g of a carbonate M$_2$CO$_3$ reacts with excess HCl and produces 0.01186 mol of CO$_2$. What is the molar mass of M$_2$CO$_3$ (in g mol$^{-1}$)?
From the reaction: M$_2$CO$_3 + 2\text{HCl} \to 2\text{MCl} + \text{H}_2\text{O} + \text{CO}_2$
1 mol M$_2$CO$_3$ produces 1 mol CO$_2$.
Moles of M$_2$CO$_3 =$ moles of CO$_2 = 0.01186\ \text{mol}$
Molar mass $= \dfrac{1\ \text{g}}{0.01186\ \text{mol}} \approx \mathbf{84.3\ \text{g mol}^{-1}}$
Gothic architecture (12thβ16th century, primarily European) is characterised by:
- Pointed arch β β the defining feature
- Flying buttress
- Ribbed vault
- Large stained glass windows
Other options:
- Barrel vault = Romanesque architecture
- Pendentive = Byzantine architecture (used to transition from square base to circular dome)
- Hypostyle hall = Ancient Egyptian architecture (hall with many columns)
Pointed arch is the most iconic and structurally significant Gothic element.
How many litres of water must be added to 1 litre of a pH 1 HCl solution to raise the pH to 2?
pH 1 means $[\text{H}^+] = 0.1\ \text{M}$; pH 2 means $[\text{H}^+] = 0.01\ \text{M}$.
Using dilution formula $C_1V_1 = C_2V_2$:
$0.1 \times 1 = 0.01 \times V_2$
$V_2 = 10\ \text{L}$
Volume of water to add $= V_2 - V_1 = 10 - 1 = \mathbf{9.0\ \text{L}}$
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