The following data is obtained during the first order thermal decomposition of 2A(g)→ B(g) +C(s) at constant volume and temperature.
S.No | Time | Total pressure in Pascal |
1. | At the end of 10 min | 300 |
2. | After completion | 200 |
The rate constant in min-1
0.0693
6.93
0.00693
69.3
For a reaction, A + B → products, the rate of the reaction at various concentrations are given below
Expt no. | [A] | [B] | Rate (mol dm-3 s-1) |
1. | 0.2 | 0.2 | 2 |
2. | 0.2 | 0.4 | 4 |
3. | 0.6 | 0.4 | 36 |
The rate law for the above reaction is
r = k[A][B]2
r = k [A]3[B]
r = k [A]2[B]2
r = k [A]2[B]
The rate of reaction increases with rise in temperature because of
onl increase in number of activated molecules
Increase in energy of activation
decrease in energy of activation , increase in number activated molecules and also the number of effective collisions increase.
only increase in the number of effective collisions
A first order reaction is 60% complete in 20 minutes. How long will the reaction take to be 84% complete?
68 min
40 min
76 min
54 min
If 50% of the reactant is converted into a product in a first order reaction in 25min, how much of it would react in 100min?
93.75%
87.5%
75%
100%
Temperature coefficient of a reaction is 2. When temperature is increased from 30°C to 90°C, the rate of reaction is increased by
60 times
64 times
150 times
400 times
A (g) P (g) + Q (g) + R (g), follows first order kinetics with a half-life of 69.3 s at 500°C. Starting from the gas 'A' enclosed in a container at 500°C and at a pressure of 0.4 atm, the total pressure of the system after 230 s will be
1.15 atm
1.32 atm
1.22 atm
1.12 atm
In a first order reaction, the concentration of the reactant is reduced to 12.5% in 1hr. When was it half completed?
3hr
20min
30min
15min
The half-life period of a first order reaction is 60 min. What percentage will be left over after 240 min?
6.25%
4.25%
5%
6%
Half-life period of a first order reaction is 10 min. Starting with initial concentration 12 M, the rate after 20 min is
0.0693 M min-1
0.693 × 3M min-1
0.0693 × 3M min-1
0.0493 × 4M min-1
C.
0.0693 × 3M min-1
Rate constant remains same throughout the reaction. For first order reaction, half-life of the reactant does not depend upon the its concentration. Hence, we can easily calculate the value of rate constant with the help of provided half-hie value by using the formula t1/2= 0.693/k. Now, we can calculate the k concentration of reactant after 20min and then rate of reaction.
Given, t1/2 = 10min
Stage | Time | Concentration |
Intial | t=0 | 12M |
t1/2 =10 min | 6M | |
t = 20min | 3M |
Since, it is a first order reaction.
Rate = k[A] = 0.069 × 3M min-1