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Which of the following statement(s) about the Arrhenius equation is/are correct?

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Important Questions on Chemical Kinetics

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Rate constant k varies with temperature by equation, log k(min-1)=5-2000T(K). We can conclude:
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Select the correct statements:
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Which of the following statements are true regarding the log K vs 1/T plot shown in the given diagram?

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If the rate of reaction 2SO2 g+O2 gPi2SO3 g is given by: Rate=KSO2SO31/2

Which statements are correct?

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Hydrolysis of ester in catalysed by acid. Rate of hydrolysis of ester were obtained initially and after some ester has been hydrolysed as R0 and Rt then (same temp.)
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The rate constant for the reaction 2 N2O54NO2+O2, is 3×10-5 s-1. If the rate is 2.4×10-5 molL-1 s-1, then the concentration of N2O5 (in molL-1) is:
HARD
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U92238 is radioactive and it emits α and β particles to form Pb82206. Calculate the number of α and β particles emitted in this conversion. An ore of U92238 is found to contain U92238 andpb82206 in the weight ratio of 1:0.1. The half-life period U92238 is 4.5×109 years. Calculate the age of the ore.
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A hydrogenation reaction is carried out at 500 K. If the same reaction is carried out in presence of a catalyst at the same rate, the temperature required is 400 K. Calculate the activation energy of the reaction, if the catalyst lowers the activation energy barrier by 20 kJ mol-1