Question #3f409

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Answer 1 · 2014-06-27T01:00:53

The mass of KNO₂ is 21 g; the volume of O₂ is 3.0 L.

Part (1) is a stoichiometry problem.

You must make the following conversions:

mass of KNO₃ → moles of KNO₃ → moles of KNO₂ → mass of KNO₂

The balanced equation is

2KNO₃ → 2KNO₂ + O₂

The molar mass of KNO₃ is (39.098 + 14.007 + 3× 15.999) g = 101.102 g

25 g KNO₃ × #(1"mol KNO₃")/(101.102"g KNO₃")# = 0.2473 mol KNO₃

(2 significant figures + 2 guard digits).

The molar mass of KNO₂ is (39.098 + 14.007 + 2 × 15.999) g = 85.103 g

0.2473 mol KNO₃ × #(2"mol KNO₂")/(2"mol KNO₃")× (85.103"g KNO₂")/(1"mol KNO₂")# = 21 g KNO₂

(2 significant figures)

Part (2) is a gas stoichiometry problem.

You must convert

moles of KNO₃ → moles of O₂ → volume of O₂

0.2473 mol KNO₃ × #(1"mol O₂")/(2"mol KNO₃")# = 0.1236 mol O₂

Room temperature and pressure are not well defined. I will assume that RTP = 1 atm and 25 °C.

We can use the Ideal Gas Law to calculate the volume of O₂.

#PV = nRT#

#T# = (25 + 273.15) K = 298.15 K

#V = (nRT)/P = (0.1236"mol" × 0.08206"L·atm·K⁻¹mol⁻¹" × 298.15 "K")/(1"atm")# = 3.0 L

Hope this helps.