Advertisements
Advertisements
प्रश्न
The following data were obtained during the first order thermal decomposition of SO2Cl2 at a constant volume.
\[\ce{SO2Cl2_{(g)} -> SO2_{(g)} + Cl2_{(g)}}\]
| Experiment | Time/s–1 | Total pressure/atm |
| 1 | 0 | 0.5 |
| 2 | 100 | 0.6 |
Calculate the rate of the reaction when total pressure is 0.65 atm.
Advertisements
उत्तर १
The thermal decomposition of SO2Cl2 at a constant volume is represented by the following equation.
\[\ce{SO2Cl2_{(g)} -> SO2_{(g)} + Cl2_{(g)}}\]
| At t = 0 | P0 | 0 | 0 |
| At t = t | P0 − p | p | p |
After time t, total pressure, Pt = (P0 − p) + p + p
⇒ Pt = (P0 + p)
⇒ p = Pt − P0
∴ P0 − p = P0 − (Pt − P0)
= 2 P0 − Pt
For a first order reaction,
k = `2.303/t log P_0/(P_0 - p)`
When t = 100 s, k = `2.303/(100 s)log 0.5/(2 xx 0.5 - 0.6)`
When Pt = 0.65 atm,
P0 + p = 0.65
⇒ p = 0.65 − P0
= 0.65 − 0.5
= 0.15 atm
∴ When the total pressure is 0.65 atm, pressure of SOCl2 is \[\ce{P_{SO_2Cl_2}}\] = P0 − p
= 0.5 − 0.15
= 0.35 atm
∴ The rate of equation, when total pressure is 0.65 atm, is given by,
Rate = \[\ce{k(P_{SO_2Cl_2})}\]
= (2.23 × 10−3 s−1) × (0.35 atm)
= 7.8 × 10−4 atm s−1
उत्तर २
If P0 is the initial pressure and Pt at time t, we have
k = `2.303/t log_10 P_0/(2P_0 - P_t)`
Given, P0 = 0.5 atm, Pt (at t = 100 s) = 0.6 atm
k = `2.303/t log_10 P_0/(2P_0 - P_t)`
= `2.303/100 log_10 0.5/(2 xx 0.5 - 0.6)`
= 2.2318 × 10−3 s−1
When, Pt = 0.65 atm, i.e., P0 + x = 0.65
∴ x = 0.65 − P0
= 0.65 − 0.5
x = 0.15 atm
Pressure of SO2Cl2 when the total pressure is 0.65 atm, i.e.,
`P_(SO_2Cl_2)` = P0 − x
= 0.50 − 0.15
= 0.35 atm
∴ The required rate of reaction = k × `P_(SO_2Cl_2)`
= 2.2318 × 10−3 × 0.35
= 7.81 × 10−4 atm s−1
APPEARS IN
संबंधित प्रश्न
Time required to decompose SO2Cl2 to half of its initial amount is 60 minutes. If the decomposition is a first order reaction, calculate the rate constant of the reaction.
In a pseudo first order hydrolysis of ester in water, the following results were obtained:
| t/s | 0 | 30 | 60 | 90 |
| [A]/mol L−1 | 0.55 | 0.31 | 0.17 | 0.085 |
Calculate the average rate of reaction between the time interval 30 to 60 seconds.
The rate constant for a first order reaction is 60 s−1. How much time will it take to reduce the initial concentration of the reactant to its `1/16`th value?
The time required for 10% completion of a first order reaction at 298 K is equal to that required for its 25% completion at 308 K. If the value of A is 4 × 1010 s−1. Calculate k at 318 K and Ea.
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?
Show that the time required for 99.9% completion of a first-order reaction is three times the time required for 90% completion.
Which of the following graphs is correct for a first order reaction?
State a condition under which a bimolecular reaction is kinetically first order reaction.
A first order reaction is 50% complete in 20 minute What is rate constant?
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
Time required to decompose SO2Cl2 to half of its initial concentration is 60 minutes. If the de-composite is a first order reaction, calculated the rate constant of the reaction-
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 decomposition of formic acid on gold surface follows first-order kinetics. If the rate constant at 300 K is 1.0 × 10−3 s−1 and the activation energy Ea = 11.488 kJ mol−1, the rate constant at 200 K is ______ × 10−5 s−1. (Round off to the Nearest Integer)
(Given R = 8.314 J mol−1 K−1)
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 ______%.
For a first order reaction, the ratio of the time for 75% completion of a reaction to the time for 50% completion is ______. (Integer answer)
The rate constant for the reaction:
\[\ce{2N2O_{(s)} ->2N2O4_{(g)}}\] is 4.98 × 10-4 s-1.
The order of the reaction is ______.
