The gas phase reaction 2A →B + C is carried out isothermally in a 31.0 dm³ well-mixed constant volume batch reactor. Pure A at an initial amount of 87.8 moles/dm³ is placed into the reactor. If the rate of destruction of A is given by -A = KCA, with k = 0.02 min-¹, determine the concentration of A (in moles/dm³) after 5 minutes. Note that concentration is moles divided by volume. Express your answer to one decimal place.

The gas phase reaction 2A →B + C is carried out isothermally in a 31.0 dm³ well-mixed constant volume batch reactor. Pure A at an initial amount of 87.8 moles/dm³ is placed into the reactor. If the rate of destruction of A is given by -A = KCA, with k = 0.02 min-¹, determine the concentration of A (in moles/dm³) after 5 minutes. Note that concentration is moles divided by volume. Express your answer to one decimal place.

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

See similar textbooks

Similar questions

In a batch reactor, reactant A is steadily converted into product B. The initialconcentration of reactant A is 100 mg/L. During a 10-hour reaction course, it wasobserved that the concentration of A in the reactor decreased at a constant rate of 10mg/L per hour. Based on the result, you can determine that the transformation reactionA→B follows ( ) with respect to reactant A.
Write the dehydrogenation of isopropanol on 1 wt% Pt-C catalyst. Derive the rate law in terms of molar flowrate of isopropanol and catalyst weight, assuming the reactor as a PBR for gas-solid reaction system
1- In the enzymatic reaction that took place in the batch constant volume reactor, the reaction rates were measured at different initial concentrations and are given in the table below. Find the appropriate kinetic model and coefficients Substrate cconcentration (mM) 1 2 4 16 32 Reaction rate (mmol/L min) 1 1.8 3.2 6.6 7.8
Consider a pseudo-first order rate constant for the degradation of MTBE in a fully mixed batch reactor that is equal of k' = 0.054min - 1 What will be the half life of MTBE in the reactor in units of minutes (min)?- will a reaction time of 1 minute be sufficient to get 50% removal of the MTBE?
An ocean outfall diffuser that discharges treated wastewater into the Pacific ocean is 5,000 m from a public beach. The wastewater contains 105 coliform bacteria per milliliter (coliform /mL). The wastewater discharge flow rate is 0.3 m3/s. The coliform first-order death rate in seawater is approximately 0.3 h-1. The current carries the wastewater plume toward the beach at a rate of 0.5 m/s. The ocean current may be approximated as a pipe carrying 600 m3/s of seawater. Determine the coliform concentration at the beach. Assume that the current behaves as a plug-flow reactor and that the wastewater is completely mixed in the current at the discharge point.
The following results were found after completion of Part C in the Experimental procedure: 0.057 M I- and 0.065 M H2O2 were used Run Catalyst Calculated Rate of Reaction (M/s) 1 none 0.053 2 10.00mL of 0.54 M FeCl2 0.446 Assuming the Rate Law = k[I-][H2O2] 2 Calculate the value of k for run 2. Give your answer to the nearest whole number.
Liquid A decomposes by first order kinetics. In a batch reactor, 50% of A is decomposed in 5 minutes. How long would it take to reach 75% conversion?A. 10 minB. 12 minC. 14 minD. 16 min
Part B: Integrated rate law expressions for zero- and half-order reactionsDerive integrated rate law expressions for half-, one and a half-, and third-order reactions of the form A  products where k is the rate constant. Also, deduce the graphical linear relations, units of rate constant k, and expression for half-life, t1/2 , for all cases. Assume that at t = 0 only A is present with an initial concentration of [A]0. Fill in the table below by following the example given for first-order reaction1.
Ozone (O3) can be used to disinfect drinking water. Ozone is highly reactive and can react withchemical species and pathogens in water. It has been found in batch tests that ozone reactsaccording to a first-order reaction such that its concentration decreases by 50 percent in 10minutes (i.e., t1/2 = 10 min). A water supplier elects to use ozone as a pretreatment and injects itinto the water delivery pipe entering the plant. The pipe is 2.5 feet in diameter with a length of4,000 feet and handles a steady-state flow of 12,000 gpm. If the pipe can be considered a perfectPFR, identify the following.a. What is the water velocity in the pipe (in ft/s)?b. What initial concentration of ozone is required at the beginning of the pipe to have a 1.0mg/L concentration at the outlet?c. How much ozone must be added daily (in lb/day) if the O3 transfer process is 80% efficient?
Derive integrated rate law expressions for half-, one and a half-, and third-order reactions of the form A ® products where k is the rate constant. Also, deduce the graphical linear relations, units of rate constant k, and expression for half-life, t1/2 , for all cases. Assume that at t = 0 only A is present with an initial concentration of [A]0. Fill in the table below by following the example given for first-order reaction1. Show all your work. order Integrated Rate Law Graphical Linear Relation Unit of k Half-life 1 ln[A][A]0=−?? ln[A] vs t ⇒ slope = −k , y-intercept = ln[A]0 1? ?12⁄=ln2? 1/2 3/2 3 1Atkins’ Physical Chemistry, Atkins and de Paula, 10th Ed., 2014, OUP, pp. 827-828.
2. In the reaction, R→P, a run with [R]0 =2.571M, [R] is found to be 2.361M at t=59.0s. A run with [R]0 =3.137M, [R] is found to be 2.439 M at t = 1.8 min. How much R will be consumed if a run with [R]0 = 0.501 M is allowed to form P for t = 4.0 min. Express your answer in 2 DPs.
Determine the average rate of change of BB from ?=0 st=0 s to ?=272 s.t=272 s. A⟶2BA⟶2B Time (s) Concentration of A (M) 0 0.7300.730 136136 0.4450.445 272272 0.1600.160 rateB= __________M/s