Advertisements
Advertisements
प्रश्न
Which of the following correctly represents integrated rate law equation for a first order reaction in a gas phase?
विकल्प
k = `2.303/t xx log_10 P_i/(P_i - P)`
k = `2.303/t xx log_10 P_i/(2P_i - P)`
k = `2.303/t xx log_10 (2P_i)/(P_i - P)`
k = `2.303/t xx log_10 (P_i - P)/(2P_i)`
Advertisements
उत्तर
`bb(k = 2.303/t xx log_10 P_i/(2P_i - P))`
Explanation:
For the gas phase reaction,
\[\ce{A(g) -> B(g) + C(g)}\]
Let initial pressure of A be Pi that decreases by x within time t.
Pressure of reactant A at time t
PA = Pi – x .....(i)
The pressures of products B and C at time t are
PB = PC = x
The total pressure at time t is then
P = Pi – x + x + x
= Pi + x
Hence, x = P – Pi ........(ii)
Pressure of A, PA at time t is obtained by substitution of equation (ii) into the (i) equation. Thus
PA = Pi – (P – Pi)
= Pi – P + Pi
= 2Pi – P
The integrated rate law turns out to be
k = `2.303/t log_10 [A]_0/[A]_t`
The concentration is now expressed in terms of pressures.
Thus, [A]0 = Pi and [A]t = PA = 2Pi – P
Substitution gives in above
k = `2.303/t log_10 P_i/(2P_i - P)` .....(iii)
P is the total pressure of the reaction mixture at time t.
APPEARS IN
संबंधित प्रश्न
Answer the following in brief.
How will you represent the zeroth-order reaction graphically?
Answer the following in brief.
Derive the integrated rate law for the first-order reaction,
\[\ce{A_{(g)} -> B_{(g)} + C_{(g)}}\] in terms of pressure.
The rate of catalysed reaction is large than the uncatalysed reaction as _______.
Write order of the following reaction:
\[\ce{2NH_{3(g)} -> N_{2(g)} + 3H_{2(g)}}\]
Explain with the help of a potential energy diagram that the catalyst increases the rate of the reaction.
For a first order reaction \[\ce{A ->Product}\] with initial concentration x mol L−1, has a half life period of 2.5 hours. For the same reaction with initial concentration `("x"/2)` mol L−1 the half life is
The decomposition of phosphine (PH3) on tungsten at low pressure is a first-order reaction. It is because the
In a first order reaction \[\ce{x -> y}\]; if k is the rate constant and the initial concentration of the reactant x is 0.1 M, then, the half life is
If 75% of a first order reaction was completed in 60 minutes, 50% of the same reaction under the same conditions would be completed in ____________.
Describe the graphical representation of first order reaction.
Write the rate law for the following reaction.
A reaction that is second order in NO and first order in Br2.
Identify the order for the following reaction.
Radioactive disintegration of 92U238
What is the value of rate constant of first order reaction, if it takes 15 minutes for consumption of 20% of reactants?
Which among the following reaction is an example of a zero order reaction?
A first order reaction completes its 10% in 20 minutes, then the time required to complete its 19% is ____________.
If [A]0 is the initial concentration, then the half life of zero order reaction is ____________.
The rate constant of a first order reaction is 3 × 10−6 per s. If the initial concentration is 0.10 mol dm−3, the initial rate of reaction is ____________.
Which of the following represents the expression for `(3/4)^"th"` life of 1st order reaction?
The rate and the rate constants of the reaction, \[\ce{A + 2B -> C + D}\] are 8 × 10−3 mol dm−3 s−1 and 2 × 10−3 s−1 respectively. The concentrations of A and B are 4 mol dm−3 each. The overall order of the reaction is ____________.
For first order reaction the slope of the graph of log10 [A]t Vs. time is equal to ____________.
The slope of a graph, log [A]t versus 't' for a first order reaction is −2.5 × 10−3 s−1. The rate constant for the reaction is ____________.
The half-life of a first order reaction is 6.0 hour. How long will it take for the concentration of reactant to decrease from 0.4 M to 0.12 M?
The time required to decompose SO2Cl2 to half of it's initial amount is 60 minutes. Calculate rate constant for this first order reaction.
A certain zero order reaction has rate constant 0.025 M s-1. What will be the concentration of reactant 'A' after 15 seconds, if initial concentration is 0.50 M?
The integrated rate equation is Rt = log C0 – log Ct, then the straight-line graph is obtained by plotting.
The expression to calculate time required for completion of zero order reaction is ______.
The integrated rate law is a direct relationship between time and ______
A radioactive isotope decayed to 17/32 of its original mass after 60 minutes. Find the half-life of this radioisotope.
The half-life period for the first order reaction is 1.7 hrs. How long will it take for 20% of the reactant to disappear?
