Nitrogen dioxide (NO2) reacts with fluorine (F2) to form nitryl fluoride (NOzF) according to the reaction

2NO2(g)+F2(g)2NO2F(g)

Write the instantaneous rate of reaction in terms of
(i) rate of formation of NO2 ,F
(ii) rate of disappearance of NO2
(iii) rate of disappearance of F2.

Nitrogen dioxide (NO2) reacts with fluorine (F2) to form nitryl fluoride (NOzF) according to the reaction

2NO2(g)+F2(g)2NO2F(g)

(i) Rate of formation of NO2F(r) = d(NO2F)dt.
(ii) Rate of disappearance of NO2(r) = -d(NO2)dt.
(iii) Rate of disappearance of F2(r) = -d(F2)dt.

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The pressure of a gas decomposing at the surface of a solid catalyst has been measured at different times and the results are given below:

t/s

0

100

200

300

p/pascal

4.0 x 103

3.5 x 103

3.0 x 103


2.5 x 103

 
Determine the order of reaction, its rate constant and half-life period.

The rate of reaction between different time interval is

The rate of reaction between different time interval isAs rate remain
As rate remains constant, therefore, reaction is of zero order.
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The decomposition of N2O5 in CCl4 at 318 K has been studied by monitoring the concentration of N2O5 in the solution. Initially the concentration of N2O5 is 2.33 M and after 184 minutes, it is reduced to 2.08 M. The reaction takes place according to the equation:

2N2O5(g)   4NO2(g)+O2(g)

Calculate the average rate of this reaction in terms of hours, minutes and seconds. What is the rate of production of NO2 during this period?

12-N2O5/(t) = -12[2.08-2.33] M/184 min                                                                               
                                         =6.79×10-4M/min= 6.79×10-4M/min×60 min/1hr.= 4.07×10-2M/hr=6.79×10-4M×1 min/60 s= 1.13 × 10-5 M/s


Again,      Rate = 14 dNO2/dt

             dNO2/dt = 6.79×10-4×4ML-1/min                    =2.72 × 10-3 ML-1/min

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A first order reaction has a specific reaction rate of 10–3. How much time will it take for 10 g of the reactant to reduce to 2.5 g. Given log 2 = 0.301, log 4 = 0.6021, log 6 = 0.778.

For a first order reaction

t=2.303klogaa-x

Here initial concentration, a = 10 g and concentration left after time t sec = 2.5 g i.e., 2.5 g i.e., (a – x) = 2.5 g.
Specific reaction constant k = 10–3 sec–1.
∴ Time required for the reactant to reduce to

= 2.30310-3×log102.5= 2.30310-3log 4= 2.30310-3×0.6021 = 1386.6 sec.
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In the Arrhenius equation for a certain reaction, the value of A and Ea (activation energy) are 4 x 1013 sec–1 and 98.6 mol–1 respectively, If the reaction is of first order, at what temperature will its half life period be the minutes?


By using the half life reaction equation

k=0.693t1/2 = 0.69310 × 60    = 1.155 × 10-3

According to Arrhenius equation

            log k = log A - Ea2.303 RT

log 1.155 × 10-3 = log 4 × 1013 - 98.62.303 × 8.314 × Tor         T = 311.65 K
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