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AP Chemistry 1.1 Moles and Molar Mass- MCQs - Exam Style Questions

Question

If a pure sample of an oxide of sulfur contains 40 percent sulfur and 60 percent oxygen by mass, then the empirical formula of the oxide is
(A) \( \text{SO}_3 \)
(B) \( \text{SO}_4 \)
(C) \( \text{S}_2\text{O}_6 \)
(D) \( \text{S}_2\text{O}_8 \)
▶️ Answer/Explanation
Detailed solution

1. Assume 100 g sample:
S: \( 40\, \text{g} \), O: \( 60\, \text{g} \)

2. Calculate moles:
S: \( \frac{40}{32.06} = 1.25\, \text{mol} \)
O: \( \frac{60}{16.00} = 3.75\, \text{mol} \)

3. Find mole ratio:
\( \frac{1.25}{1.25} : \frac{3.75}{1.25} = 1 : 3 \)

4. Empirical formula:
\( \text{SO}_3 \)

Answer: (A)

Questions 

Another sample of eggshell reacts completely with 4.0 mL of an HCl(aq) solution of unknown concentration. If the reaction produced 0.095 atm of gas, the concentration of the HCl(aq) solution was at least
(A) 0.0020 M
(B) 0.050 M
(C) 0.50 M
(D) 1.0 M

▶️Answer/Explanation

Ans: D

\(P=0.095\) atm \(\rightarrow\) corresponds to \(0.20 \mathrm{~g} \mathrm{CaCO}_3\)
So, moles of \(\mathrm{CaCO}_3=\frac{0.20 \mathrm{~g}}{100 \mathrm{gm}{mol}^{-1}}=0.002 \mathrm{moles}\)
moles of \(\mathrm{HCl}=\left(\right.\) moles of \(\left.\mathrm{CaCO}_3 \times 2\right) \Rightarrow 0.002 \times 2\)
So, molarity of \(\mathrm{HCl}=\frac{\text { moles }}{\text { Volume in } \mathrm{L}} \Rightarrow \frac{0.004}{4} \times 1000\)
Concentration of \(\mathrm{HCl}=1 \mathrm{~m} \rightarrow\) option \((\mathrm{D})\)

Questions 

The mass percent of \(CaCO_{3}\)(s) in the eggshell  is closest to
(A) 30%
(B) 45%
(C) 60%
(D) 75%

▶️Answer/Explanation

Ans: D

(36) Pressure of gas \(=0.870-0.800=0.07 \mathrm{~atm}\) Mass of \(\mathrm{CaCO}_3\) corresponding to it \(\Rightarrow 0.15 \mathrm{~g}\) (approx)
So, \(\% \mathrm{CaCO}_3=\frac{0.15}{0.20} \times 100 \Rightarrow 75 \%\)

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