Question

# When solid CaCO3 is heated, it decomposes to give solid CaO and CO2 gas. A volume...

When solid CaCO3 is heated, it decomposes to give solid CaO and CO2 gas. A volume of 560 mL of gas is collected over water at a total pressure of 730 mmHg and 16 ∘C. The vapor pressure of water at 16 ∘C is 14 mmHg. CaCO3(s)→CaO(s)+CO2(g)

1)How many moles of CO2 gas were in the CO2 gas sample? Express your answer with the appropriate units

Use ideal gas equation for calculation of mole of gas

Ideal gas equation

PV = nRT             where, P = atm pressure= 730 - 14 = 716 mmHg = 0.9421 atm,

V = volume in Liter = 560 ml = 0.560 L

n = number of mole = ?

R = 0.08205L atm mol-1 K-1 =Proportionality constant = gas constant,

T = Temperature in K = 160C = 273.15+ 16 = 289.15 K

We can write ideal gas equation

n = PV/RT

Substitute the value

n = (0.9421 X 0.560)/(0.08205X 289.15) = 0.0222 mole

0.0222 mole of CO2 gas in sample

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