Question #75500

KClO3 - 2KCl + 3O2 the O2 produced was collected by the displacement of water at 22oC at a total pressure of 760 torr. The volume of the gas collected was 1.20 liters, and the vapor pressure of water at 22 degree Celsius is 21 torr. Calculate the partial pressure of O2 in the gas collected and the mass of KClO3 in the sample that was composed

Expert's answer

2KClO32KCl+3O22 \mathrm{KClO_3} \rightarrow 2 \mathrm{KCl} + 3 \mathrm{O_2}Ptotal=PO2+PH2O=PO2+21 torr=760 torr\mathrm{P_{total}} = \mathrm{P_{O_2}} + \mathrm{P_{H_2O}} = \mathrm{P_{O_2}} + 21 \text{ torr} = 760 \text{ torr}PO2=739 torr1 atm760 torr=0.972 atm\mathrm{P_{O_2}} = 739 \text{ torr} \cdot \frac{1 \text{ atm}}{760 \text{ torr}} = 0.972 \text{ atm}nO2=0.972 atm1.20 L0.08206 LatmmolK295 K=4.82102 mol O2\mathrm{n_{O_2}} = \frac{0.972 \text{ atm} \cdot 1.20 \text{ L}}{\frac{0.08206 \text{ L} \cdot \text{atm}}{\text{mol} \cdot \text{K}} \cdot 295 \text{ K}} = 4.82 \cdot 10^{-2} \text{ mol } \mathrm{O_2}4.82 \cdot 10^{-2} \text{ mol } \mathrm{O_2} \cdot \frac{2 \text{ mol KClO_3}}{3 \text{ mol } \mathrm{O_2}} = 3.21 \cdot 10^{-2} \text{ mol KClO_3}3.21 \cdot 10^{-2} \text{ mol KClO_3} \cdot \frac{122.6 \text{ g KClO_3}}{1 \text{ mol KClO_3}} = 3.94 \text{ g KClO_3}


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