Question

In: Chemistry

Ozone gas, O3 decomposes into O2 in presence of NO and gaseous O atoms The following...

Ozone gas, O3 decomposes into O2 in presence of NO and gaseous O atoms The following data was obtained Determine the experimental rate law for the reaction given the following data and the value for the rate constant

O 3= 2.3 x 10^-4 atm NO = 1.6 x 10^-4 O = 1.5 x 10^-4 rate1 = 2.6 x 10-3

O3 = 2.3 x 10^-4 NO = .8 x 10^-4 O = 1.5 x 10^-6 rate 2 = 1.3 x 10^-3

O 3 = 4.6 x a0^-4 NO = 1.6 x 10^-4 O = 1.5 x 10^-6 rate 3 = 5.2 x 10^-3

O3 = 4.6 x 10^-4 NO = 1.6 x 10^-4 O = 3.0 x 10^-6 rate 4 = 5.2 x 10^-3

Solutions

Expert Solution

Let the rate law of the reaction be

rate = K [03]^a [N0]^b [0]^c

here

k is rate constant

a is order with respect to 03

b is order with respect to NO

c is w.r.t 0

now

conisder condition 1

rate1 = K[03]^a [N0]^b [0]^c

2.6 x 10-3 = K [2.3 x 10-4]^a [1.6 x 10-4]^b [1.5 x 10-4]^c


now

consider condition 2

rate2 = K[03]^a [N0]^b [0]^c

1.3 x 10-3 = K [2.3 x 10-4]^a [0.8 x 10-4]^b [1.5 x 10-4]^c


now

conisder condition 3

rate3 = K[03]^a [N0]^b [0]^c

5.2 x 10-3 = K [4.6 x 10-4]^a [1.6 x 10-4]^b [1.5 x 10-4]^c


now

conisder condition 4

rate4 = K[03]^a [N0]^b [0]^c

5.2 x 10-3 = K [4.6 x 10-4]^a [1.6 x 10-4]^b [3 x 10-4]^c


from the above obtained equations

now divide condition 1 by condition 3


2.6 x 10-3 / 5.2 x 10-3 = K [2.3 x 10-4]^a [1.6 x 10-4]^b [1.5 x 10-4]^c / K [4.6 x 10-4]^a [1.6 x 10-4]^b [1.5 x 10-4]^c

on solving we get

a =1


now divide condition1/ condition 2

we get

2.6 x 10-3 / 1.3 x 10-3 = K [2.3 x 10-4]^a [1.6 x 10-4]^b [1.5 x 10-4]^c / 1.3 x 10-3 = K [2.3 x 10-4]^a [0.8 x 10-4]^b [1.5 x 10-4]^c

solving we get

b=1


now divide condition 3 / condition 4

5.2 x 10-3 / 5.2 x 10-3 = K [4.6 x 10-4]^a [1.6 x 10-4]^b [1.5 x 10-4]^c / 5.2 x 10-3 = K [4.6 x 10-4]^a [1.6 x 10-4]^b [3 x 10-4]^c

on solving we get

c=0


so the rate law is given by


rate = K [03]^1 [N0]^1 [0]^0

so the rate law is

rate = K [03] [N0]

now

consider condition 1

2.6 x 10-3 = K [ 2.3 x 10-4 ] [1.6 x 10-4 ]

K = 7.065 x 10^4

so

the rate constant = 7.065 x 10^4


Related Solutions

O3 + O -->2O2) Depletion of the ozone layer is believed to be caused by chlorine...
O3 + O -->2O2) Depletion of the ozone layer is believed to be caused by chlorine catalyzed O3 decomposition. For the uncatalyzed reaction Ea,f= 19 kJ/mol. For the following mechanism, Ea1, f =2.1 and Ea2,f =0.4 kJ/mol: Proposed Mechanism: Cl+O3--> ClO +O2 ClO+O--> Cl+O2 a.) What is the dH for the reaction? I know the answer is -390 kJ/mol. I don't know where this answer comes from! b.) What is the Ea, r for the uncatalyzed reaction? I know the...
O3+2I-+H2O = O2+I2+2OH- 1. How many grams of ozone gas are needed to react with 45.00...
O3+2I-+H2O = O2+I2+2OH- 1. How many grams of ozone gas are needed to react with 45.00 mL of a 0.200 M aqueous solution of KI according to the chemical equation shown above? 2. What is the concentration (in mol/L) of OH- at the end of the reaction?
The third order rate coefficient for: O + O2 + M   -> O3 + M is...
The third order rate coefficient for: O + O2 + M   -> O3 + M is given by the expression: k = 6.0x10-34 *(T/300)-2.4 cm6 molecule-2 s-1 This reaction is in the low pressure, i.e. termolecular, limit under all atmospheric conditions. 1) Find the effective bimolecular rate at 220K and a pressure of 50 mbar 2) An O2 molecule undergoes photolysis giving O3P Find the pseudo-first order rate of O3 formation at 220K and a pressure of 50 mbar. What...
Gaseous butane CH3CH22CH3 reacts with gaseous oxygen gas O2 to produce gaseous carbon dioxide CO2 and...
Gaseous butane CH3CH22CH3 reacts with gaseous oxygen gas O2 to produce gaseous carbon dioxide CO2 and gaseous water H2O . What is the theoretical yield of water formed from the reaction of 0.58g of butane and 2.0g of oxygen gas? Be sure your answer has the correct number of significant digits in it.
Gaseous butane CH3CH22CH3 reacts with gaseous oxygen gas O2 to produce gaseous carbon dioxide CO2 and...
Gaseous butane CH3CH22CH3 reacts with gaseous oxygen gas O2 to produce gaseous carbon dioxide CO2 and gaseous water H2O. If 7.47g of carbon dioxide is produced from the reaction of 4.1g of butane and 9.8g of oxygen gas, calculate the percent yield of carbon dioxide. Be sure your answer has the correct number of significant digits in it.
Gaseous butane CH3CH22CH3 reacts with gaseous oxygen gas O2 to produce gaseous carbon dioxide CO2 and...
Gaseous butane CH3CH22CH3 reacts with gaseous oxygen gas O2 to produce gaseous carbon dioxide CO2 and gaseous water H2O . If 5.37g of water is produced from the reaction of 8.72g of butane and 15.3g of oxygen gas, calculate the percent yield of water. Be sure your answer has the correct number of significant digits in it.
Gaseous ethane CH3CH3 reacts with gaseous oxygen gas O2 to produce gaseous carbon dioxide CO2 and...
Gaseous ethane CH3CH3 reacts with gaseous oxygen gas O2 to produce gaseous carbon dioxide CO2 and gaseous water H2O. If 3.86g of water is produced from the reaction of 6.92g of ethane and 39.7g of oxygen gas, calculate the percent yield of water. Round your answer to 3 significant figures.
Gaseous ethane CH3CH3 reacts with gaseous oxygen gas O2 to produce gaseous carbon dioxide CO2 and...
Gaseous ethane CH3CH3 reacts with gaseous oxygen gas O2 to produce gaseous carbon dioxide CO2 and gaseous water H2O. If 2.19g of carbon dioxide is produced from the reaction of 2.7g of ethane and 3.2g of oxygen gas, calculate the percent yield of carbon dioxide. Round your answer to 2 significant figures.
Gaseous butane CH3CH22CH3 reacts with gaseous oxygen gas O2 to produce gaseous carbon dioxide CO2 and...
Gaseous butane CH3CH22CH3 reacts with gaseous oxygen gas O2 to produce gaseous carbon dioxide CO2 and gaseous water H2O . If 36.4g of water is produced from the reaction of 49.99g of butane and 339.9g of oxygen gas, calculate the percent yield of water. Round your answer to 3 significant figures.
The decomposition of ozone into oxygen is believed to occur by the following mechanism: O3   <-->  ...
The decomposition of ozone into oxygen is believed to occur by the following mechanism: O3   <-->   O2 + O       fast, equilibrium O +   O3 --> 2 O2       slow The rate constant for the overall rate law is 30.6 at 87oC. If you start with a mixture of 1.5 M O3 and 3.0 M O2, what is the initial rate of the reaction?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT