मराठी
कर्नाटक बोर्ड पी.यू.सी.पीयूसी विज्ञान 2nd PUC Class 12

Which of the following graphs is correct for a first order reaction?

Advertisements
Advertisements

प्रश्न

Which of the following graphs is correct for a first order reaction?

टीपा लिहा
Advertisements

उत्तर

Explanation:

The pace of a reaction that is directly proportional to the concentration of the reacting substance is known as a first-order reaction. 

A first-order reaction's kinetic equation 

k = `2.303/t log  [R]^0/([R])`

The Y-axis represents concentration, whereas the X-axis represents time.

`log = [R]^0/([R]) = (kt)/2.303`

`[log = [R]_0/([R])] = [(kt)/2.303](t)`

y = mn

k = `2.303/t log  a/(a - x)`

t = `2.303/k log  a/(a - x)`

x = `a - a/2`

x = `a/2`

`t_(1/2) = 2.303/k log  a/(a - a/2)`

`2.303/k log 2`

`t_(1/2) = 0.693/k`

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 4: Chemical Kinetics - Exercises [पृष्ठ ५५]

APPEARS IN

एनसीईआरटी एक्झांप्लर Chemistry Exemplar [English] Class 12
पाठ 4 Chemical Kinetics
Exercises | Q II. 32. | पृष्ठ ५५

संबंधित प्रश्‍न

For the decomposition of azoisopropane to hexane and nitrogen at 543 K, the following data are obtained.

t (sec) P(mm of Hg)
0 35.0
360 54.0
720 63.0

Calculate the rate constant.


Following data are obtained for reaction :

N2O5 → 2NO2 + 1/2O2

t/s 0 300 600
[N2O5]/mol L–1 1.6 × 10-2 0.8 × 10–2 0.4 × 10–2

1) Show that it follows first order reaction.

2) Calculate the half-life.

(Given log 2 = 0.3010, log 4 = 0.6021)


A first order reaction takes 20 minutes for 25% decomposition. Calculate the time when 75% of the reaction will be completed.

(Given : log = 2 = 0·3010, log 3 = 0·4771, log 4 = 0·6021)


Define order of reaction. How does order of a reaction differ from molecularity for a complex reaction? 


Straight line graph for first order reaction is obtained between ____________.


First order reaction is 50% complete in 1.26 × 1014s. How much time could it take for 100% completion?


In the first order reaction, half of the reaction is complete in 100 seconds. The time for 99% of the reaction to occurs will be


In a first order reaction the concentration of reactants decreases from 400mol L-1 to 25 mol L-1 in 200 seconds. The rate constant for the reaction is ______.


Gaseous cyclobutene isomerizes to butadiene in a first order process which has a 'k' value of 3.3 × 10−4 s−1 at 153°C. The time in minutes it takes for the isomerization to proceed 40% to completion at this temperature is ______. (Rounded-off to the nearest integer)


The reaction \[\ce{SO2Cl2(g) -> SO2(g) + Cl2(g)}\] is a first-order gas reaction with k = 2.2 × 10−5 sec−1 at 320°C. The percentage of SO2Cl2 is decomposed on heating this gas for 90 min, is ______%.


The slope in the plot of ln[R] vs. time for a first order reaction is ______.


The slope in the plot of `log  ["R"]_0/(["R"])` Vs. time for a first-order reaction is ______.


Radioactive decay follows first-order kinetics. The initial amount of two radioactive elements X and Y is 1 gm each. What will be the ratio of X and Y after two days if their half-lives are 12 hours and 16 hours respectively?


How will you represent first order reactions graphically?


The following data were obtained during the decomposition of SO2Cl2 at the constant volume. SO2Cl2 →SO2(g) + Cl2(g)

Time (s) Total Pressure (bar)
0 0.5
100 0.6

Calculate the rate constant of the reaction.


Show that `t_(1/2)= 0.693/k` for first reaction.


If the half-life (t1/2) for a first order reaction is 1 minute, then the time required for 99.9% completion of the reaction is closest to ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×