Chemical Kineti...

Reaction $$A+B\longrightarrow C+D$$ follow's following rate law rate $$=k={ \left[ A \right]  }^{ \frac { 1 }{ 2 }  }{ \left[ B \right]  }^{ \frac { 1 }{ 2 }  }$$. Starting with initial conc. of one mole of A and B each, what is the time taken for amount  of A of become 0.25 mole. Given $$k = 2.31\times 10^{-3}  sec^{-1}$$.

The gas phase decomposition of dimethyl ether follows first order kinetics.
$$CH_3OCH_3(g)\, \rightarrow\, CH_4(g)\, +\, H_2(g)\, +\, CO(g)$$
The reaction is carried out in a constant volume container at $$500^\circ C$$ and has a half life of 14.5 min. Initially, only dimethyl ether is present at a pressure of 0.40 atm. What is the total pressure of the system after 12 min? Assume ideal gas behaviour.

Catalytic decomposition of nitrous oxide by gold at $$900^{0}C$$ at an initial pressure of 200 mm was 50 % in 53 min and 73 % in 100 min, the value of velocity constant is :

In a first order reaction, $$75\%$$ of the reactants disappeared in 1.386 hr. What is the rate constant?

In the following reaction, $$A\rightarrow B$$, rate constant is $$1.2\times10^{-2}\:M\:s^{-1}\:$$. What is concentration of B after 10 min, if we start with 10 M of A?

In a certain reaction, 10% of the reactant decomposes in one hour, 20% in two hours, 30% in three hours, and so on. The dimension of the velocity constant (rate constant) is:

$$A\rightleftharpoons B+C$$
Time              $$  t$$        $$\infty $$
Total pressure of $$(B + C)$$    $$P_2$$        $$P_3$$
Find equilibrium constant $$k$$.

80% of a first order reaction was completed in 70 min. How much it will take for 90% completion of a reaction ?

Unit of frequency factor (A) is:

The decomposition of a compound P, at temperature T according to the equation 
$$2P_{(g)}\rightarrow4Q_{(g)}+R_{(g)}+S_{(l)}$$ is the first order reaction. After 30 minutes from the start of decomposition in a closed vessel, the total pressure developed is found to be 317 mm Hg and after a long period of time the total pressure observed to be 617 mm Hg. Calculate the total pressure of the vessel after 75 minute, if volume of liquid S is supposed to be negligible. Also calculate the time fraction $$t_{7/8}$$?
Given : Vapour pressure of S(l) at temperature T = 32.5 mm Hg.