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Question 2 (25 marks)
(1) One mole of chlorine corresponds to 2 × (6.023 × 1023) particles of chlorine atoms. By use of electrolysis, calculate the number of electrons required to generate 0.1 liter of chlorine gas at 25°C, 0.98 atm of external pressure? (Assume ideal gas behavior and the vapor pressure of water is negligible.) (10 marks)
Cl2 + 2e - -> 2Cl-
PV=NRT
(0.98x101325)(0.1x1000x10^-6)=n(8.314)(25+273)
n=4x10^-3 mole gas
so electrons required : 2x(6.023 × 10^23) x4x10^-3=4.82x10^21 e-
(2) A 1.268 g sample of metal carbonate MCO3 was treated with 100.00 mL of 0.1083 M H2SO4, yielding CO2 gas and a soluble metal sulfate solution. The solution was then boiled to remove all soluble carbon dioxide and titrated with 0.1241 M NaOH. A volume of 71.02 mL NaOH was consumed to neutralize the excess H2SO4.
a. What is the identity of metal M? (10 marks)
M is a group 2 metal because of M2+ .M is not Ca since CaSO4 is insoluble .so M maybe Mg2+(Mg metal) which MgSO4 is a soluble metal sulfate solution
b. If the density of carbon dioxide at room temperature is 1.799 g/L, calculate the volume of CO2 generated in the reaction with H2SO4. (5 marks)
2NaOH + H2SO4 ->Na2SO4 + 2H2O
mole of naoh used : (0.07102)x( 0.1241 M)=8.81x10^-3 mole
mole of excess h2so4 :8.81x10^-3/2=4.41x10^-3 mole
MCO3 + H2SO4 -> MSO4 + CO2 + H2O
total mole of h2so4 : (0.1x0.1083)=0.01083 MOLE
MOLE OF H2SO4 USED TO REACT TO MCO3 : 0.01083-4.41x10^-3=6.42X10^-3 MOLE
MOLE OF CO2: 6.42X10^-3 MOLE
pv=nrt : (101325)(V)= 6.42X10^-3 x8.314 x(25+273)
V=1.57x10^-4M³ |
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