(a) The decomposition of a gas phase reactant, A, into gaseous products, P and Q, proceeds according to the reaction stoichiometry: A (g) (8)0 + (8) d and has been studied by measurement of the pressure increase in a constant volume system. Starting with an initial pressure of 112 torr of pure A at 713 K, the following total pressures, were measured at the times stated: Time (min) Pressure (Torr) 136 15 30 45 60 75 155 170 181 191 (i) Give a suitable expression for the integrated rate equation by which the tabulated data can be analysed to confirm that the reaction exhibits first order kinetics. (ii) Calculate the rate constant and the half life of the reaction. (ii) If the activation energy of the reaction is given by 120 kJ mol, determine the rate constant and half life at a temperature of 1 100 K.

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(a) The decomposition of a gas phase reactant, A, into gaseous products, P and Q,
proceeds according to the reaction stoichiometry:
A (g)
P (g) + Q (g)
and has been studied by measurement of the pressure increase in a constant volume
system. Starting with an initial pressure of 112 torr of pure A at 713 K, the following
total pressures, were measured at the times stated:
Time (min)
Pressure (Torr) | 136
15
30
45
60
75
155
170
181
191
(i)
Give a suitable expression for the integrated rate equation by which the
tabulated data can be analysed to confirm that the reaction exhibits first order
kinetics.
(ii) Calculate the rate constant and the half life of the reaction.
(ii)
If the activation energy of the reaction is given by 120 kJ mol, determine
the rate constant and half life at a temperature of 1100 K.
Transcribed Image Text:(a) The decomposition of a gas phase reactant, A, into gaseous products, P and Q, proceeds according to the reaction stoichiometry: A (g) P (g) + Q (g) and has been studied by measurement of the pressure increase in a constant volume system. Starting with an initial pressure of 112 torr of pure A at 713 K, the following total pressures, were measured at the times stated: Time (min) Pressure (Torr) | 136 15 30 45 60 75 155 170 181 191 (i) Give a suitable expression for the integrated rate equation by which the tabulated data can be analysed to confirm that the reaction exhibits first order kinetics. (ii) Calculate the rate constant and the half life of the reaction. (ii) If the activation energy of the reaction is given by 120 kJ mol, determine the rate constant and half life at a temperature of 1100 K.
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