Consider the bimolecular reaction of nitrogen dioxide at 750 K in the gasphase, producing NO and O2 as follows:2NO22NO + O2.Suppose that the Arrhenius parameter (frequency factor A) is given as 1.79 x 106m³ mol¹ s¹ and the actual cross-section for a reactive collision is σ = 0.60 nm².Calculate the reactive cross section (σ*) and the steric factor, P.HINT: take μ = 1/2m(NO2)And MNO2 = 46.0mu, where mu is the atomic mass constant.

calculate μ (reduced mass): μ = ½m(NO₂) = ½ * 46.0mu = 23.0muconvert the temperature from K to J…

Answered: Consider the bimolecular reaction of…

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...

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Consider the following gas phase reaction at constant volume: 2CH2N2(g) −→ 2N2(g) + C2H4(g) i) Given that the initial pressure is p0 calculate the total pressure after three quarters of the CH2N2(g) has reacted. ii) Derive an equation which shows how the total pressure varies as a function of the fraction, α, of the CH2N2(g) that has reacted. iii) Sketch a graph which shows how the pressure varies as a function of α
The following data were obtained for the adsorption of a certain material (ORA) on activated carbon at 25 °C. Sample Activated carbon mass (g) 1.0119 [ORA) initial (M) [ORA] at equilibrium (М) 0.0044 number 0.0096 1.0186 1.0360 0.0289 0.0207 3 0.0578 0.0446 0.0721 0.1002 4 1.0129 0.0867 1.0393 0.1156 1.0312 1.0198 0.1445 0.1926 0.2407 0.2889 0.1270 7 1.0270 1.0252 0.1742 0.2227 0.1108 8 1. Try fitting these data using Langmuir Isotherm and obtain K and monolayer of ORA molecules per one gram 3. Which isotherm describe best the adsorption of ORA on activated carbon and why? 4. If a monolayer of N2 molecules is 0.03075 mole per one gram of activated carbon, and the surface area on one N2 molecules is 0.162 nm, determine: a. surface area per one gram of activated carbon b. surface area of one ORA molecule
The rate law for the oxidation reaction 2CO(g) + O2(g) → 2CO2(g) assuming that the reaction occurs by the Langmuir -Hinshelwood mechanism. The over-all rate law for this mechanism is Rate = k3θCOθO2 ΘO2 = (KO2 [O2])1/2 and ΘCO = KCO [CO] --------------------------------- --------------------------------- 1+ (KO2[O2])1/2 + KCO[CO] 1+ (KO2[O2])1/2 + KCO[CO]
The maximum rate I at which oxygen molecules can be consumed by a bacterium or radius R in a lake where the concentration of oxygen is co = 0.2 mole m³ increases with the first power of R. We might expect the oxygen consumption, however, to increase roughly with an organism's volume. Together, this statements imply an upper limit to the size of a bacterium: If R gets too large, the bacterium would literally suffocate. The actual metabolic activity of a bacterium is about 0.02 mole kg-' sl. What limit do you then get on the size R of a bacterium? Compare to the size of a real bacteria. Can you think of some way for a bacterium to evade this limit?
1) The rate constant for the gas-phase reaction H2(g) + I2(g) → 2 HI(g) has the value 4.45 x 10-5 mol-1 dm³ s-1. What is the equivalent rate constant in units of molecule-1 cm³ s- 1? 2) The kinetics of the hydrolysis of methyl methanoate, CH3COOCH3, in aqueous solution were investigated by measuring the concentration of the ester after different time intervals. The reaction was found to be first order in the concentration of the ester. Use the data below to determine the rate constant for the reaction (must provide best fit graph). 3600 time, t/s 1800 5400 7200 9000 concentration, c/ (mol dm-3) 0.300 0.191 0.135 0.081 0.055 0.035
10. The rate of change in colour of iodide (yellow) can be measured as it reacts with colourless hypochlorite, OCI (ag): I (aq) + OCI(aq) I0- (aq) + Cl (aq) a. Different concentrations of reactants are combined at the same temperature and the rate of yellow colour disappearance were measured: Rate of colour Trial Initial [I] (mol/L) Initial [OCI(ag)) change (mol/(L s) 0.12 0.18 7.91 x 102 1 0.18 3.95 x 102 0.060 0.090 0.030 9.88 x 103 3 0.24 7.91 x 102 4 0.090 Using the data provided, calculate the value of the rate constant, including units b. Predict the rate of reaction if both reactants have an equal starting concentration of 0.10 mol/1.
Suppose the reduction of nitric oxide proceeds by the following mechanism: step elementary reaction rate constant 1 H,(g) + 2 NO(g) → N,0(g) + H,0(g) k1 2 H2(9) + N,0(9) → N2(9) + H,O(g) Suppose also k, «k,. That is, the first step is much slower than the second. Write the balanced chemical equation for the overall chemical reaction: Write the experimentally- observable rate law for the overall chemical reaction. rate = k U Note: your answer should not contain the concentrations of any intermediates. Express the rate constant k for the overall chemical reaction in terms of k1, k2, and (if necessary) the rate constants k.1 and k-2 for k = the reverse of the two elementary reactions in the mechanism.
2C4H6(g) → C8H12(g) At high temperatures, the compound C4H6 (1,3-butadiene) reacts according to the equation above. The rate of the reaction was studied at 625 K in a rigid reaction vessel. Two different trials, each shown with a different starting concentration, were carried out. The data were plotted in three different ways, as shown below. (a) For trial 1, calculate the initial pressure, in atm, in the vessel at 625 K. Assume that initially all the gas present in the vessel is C4H6. (Hint-this is a gas law problem from chemistry last year) (b) Use the data plotted in the graphs to determine the order of the reaction with respect to C4H6. (c) The initial rate of the reaction in trial 1 is 0.0010 mol/(L *s). Calculate the rate constant, k, for the reaction at 625 K.
The specific rate constant for the first-order decomposition of -1 N₂O5 (9) to NO2 (g) and O₂ (g) is 7.48 × 10-³ s¯ at a given temperature. Find the length of time required for the total pressure in a system containing N₂O5 at an initial pressure of 0.110 atm to rise to 0.150 atm . Express your answer using two significant figures. VE ΑΣΦ t = Submit Part B t = Submit Request Answer Find the length of time required for the total pressure in a system containing N₂O5 at an initial pressure of 0.110 atm to rise to 0.220 atm . Express your answer using two significant figures. ΨΕ ΑΣΦ Part C Request Answer ? Find the total pressure after 120 s of reaction. S S
In a study of the rearrangement of cyclopropane to propene at 500 °C (CH₂)3 CH3CH=CH₂ the concentration of (CH₂)3 was followed as a function of time. It was found that a graph of In[(CH₂)3] versus time in seconds gave a straight line with a slope of -9.38×104 s¹ and a y-intercept of -2.02. Based on this plot, the reaction is order in (CH₂)3 and the rate constant for the reaction is
In a study of the gas phase decomposition of dinitrogen pentoxide at 335 K N2O5(g)2 NO,(g) + ½ O2(g) the concentration of N2O5 was followed as a function of time. It was found that a graph of In[N,O3] versus time in seconds gave a straight line with a slope of -7.38×10-3 s and a y-intercept of -3.13. Based on this plot, the reaction is | order in N2O5 and the half life for the reaction i | seconds.
It has been proposed that the gas NO2C1 decomposes by the mechanism: NO2CI(g) kı NO2(g) + Cl(g) NO2CI(g) + Cl(g) k2 NO2(g) + Cl2(g) Apply the Steady State Approximation to derive an expression for the concentration of the intermediate, Cl(g). Show your working out. States not required.

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