1.

The decomposition of Cl_(2)O_(7) at 400 K in the gas phase to Cl_(2) and O_(2) is a first orderreaction. (i) After 50 secondsat 400 K, the pressure of Cl_(2)O_(7) falls from 0.062 to 0.044 atm. Calculate the rate constant. (ii) Calculate the pressure of Cl_(2)O_(7) after 100sec of decomposition at this temperature.

Answer»

Solution :`apropP_(0)" and "(a-x)propP_(t)."Hence, "k=(2.303)/(t)log""(P_(0))/(P_(t))""(P_(t)=" pressure of "Cl_(2)O_(7)" at TIME t")`
(i) `t=50" SEC",P_(0)=0.062" atm",P_(t)=0.044" atm. "k=(2.303)/(50" s")log""(0.062" atm")/(0.044" atm")=6.86xx10^(-3)s^(-1)`
(II) `t=100" sec ",P_(t)=?k=6.86xx10^(-3)s^(-1)`
`6.86xx10^(-3)s^(-1)=(2.303)/(100s)log""(0.062" atm")/(P_(t))`
`log""(0.062)/(P_(t))=0.2979" or "(0.062)/(P_(t))="Antilog"0.2979=1.986" or "P_(t)=0.0312" atm"`


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