The volume in litters of CO2 liberated at STP when 10 grams of 90% pure limestone is heated completely is
Correct answer: D. 2.016
- A. 22.4
- B. 2.24
- C. 20.16
- D. 2.016
Explanation
The correct answer is d. 2.016 L.Calculation:Calculate the amount of pure limestone in the sample:○ Given purity = 90%○ Total mass = 10 g○ Pure limestone mass = purity * total mass = 0.9 * 10 g = 9 gConvert the mass of pure limestone to moles:○ Molar mass of CaCO3 (limestone) = 100.09 g/mol○ Moles of CaCO3 = mass / molar mass = 9 g / 100.09 g/mol = 0.09 molesDetermine the moles of CO2 produced:○ From the balanced chemical equation for limestone decomposition: CaCO3 (limestone) -> CaO + CO2○ 1 mole of CaCO3 decomposes to produce 1 mole of CO2.○ Therefore, moles of CO2 produced = moles of CaCO3 = 0.09 molesCalculate the volume of CO2 at STP:○ Standard temperature and pressure (STP) = 0 °C and 1 atm○ Ideal gas law: PV = nRT○ Assuming ideal behavior for CO2 at STP: P = 1 atm, V = unknown, n = 0.09 moles, R = 0.0821 L atm/mol K, T = 273.15 K (0 °C)○ Solve for V: V = nRT/P = 0.09 moles * 0.0821 L atm/mol K * 273.15 K / 1 atm = 2.016 LTherefore, 2.016 liters of CO2 are liberated at STP when 10 grams of 90% pure limestone is heated completely.
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Mole calculations connect mass, number of particles and Avogadro's number, while balanced equations provide the mole ratios used in stoichiometry. Questions cover limiting and excess reactants, theoretical yield and percentage yield, including identifying which reactant is consumed first and comparing the actual product with the maximum possible product.
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