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any algebraic stops 4. Solid potassium carbonate reacts with aqueous hydrochlori

ID: 556115 • Letter: A

Question

any algebraic stops 4. Solid potassium carbonate reacts with aqueous hydrochloric acid to form aqueous potassium chloride, water, and gaseous carbon dioxide (equation shown below). A 0.550 g sample of potassium carbonate produced carbon dioxide gas that is collected using water displacement at 1.03 atm and 25°C. Assume the vapor pressure of water is 23.8 torr at 25°C. What is the volume in milliliters of carbon dioxide gas produced? Be sure to include dimensional analysis and consideration of significant figures in your work. Also explicitly show any algebraic steps you use. Kgco, (s) + 2 HCI (g) 2 KCI (aq) + H2O (l) + CO2 (g)

Explanation / Answer

CO2 produced in ,L

a)

mole s o K2CO3 = mass/MW = 0.55/138.2055 = 0.003979

ratio is 1 mol of K2cO3 = 1 mol of CO"

0.003979 mol of CO2

PV = nRT

P = 1.03 atm = 1.03*760 = 782.8 torr

Pvapor at 25°C = 23.8

Pgas = 782.8- 23.8 = 759

PV = nRT

V = nRT/P

V = (0.003979)(62.4*298)/759

V = 0.09748 L

V = 0.09748*10^3 mL = 97.48 mL of CO2