The first-order rate constant for the decomposition of dimethyl ether:
is
Interpretation:
The pressure of the system is to be determined.
Concept introduction:
The ideal gas equation elaborates the physical properties of gases by relating the pressure, volume, temperature, and number of moles with each other with the help of four gas laws. This can be shown by:
Here,
The formula for conversion of temperature from degree Celsius to Kelvin is represented as:
Answer to Problem 113AP
Solution:
Explanation of Solution
Given information:
Rate constant,
Temperature,
Pressure,
Time,
The temperature is
The conversion of temperature from degree Celsius to Kelvin can be done by using the formula given below:
The standard form of an ideal gas equation is:
Rearrange the above equation for number of moles of hydrogen as follows:
Substitute,
According to the Arrhenius equation
The concentration of dimethyl ether after
Thus, after
After
There are three moles of product formed from each mole of dimethyl ether reacting. So, the concentration of products is:
Molarity is equal to the ratio of number of moles to the volume as follows:
The pressure of dimethyl ether after
Substitute
Substitute
The pressure of the system (dimethyl ether) is
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Chapter 14 Solutions
Chemistry
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- In experiments on the decomposition of azomethane. CH3NHCH3(g)C2H6(g)+N2(g) the following data were obtained: Initial Concentration of Azomethane Initial Rate Exp. 1 1.13 102 M 2.8 106 M/s Exp. 2 2.26 102 M 5.6 106 M/s What is the rate law? What is the value of the rate constant?arrow_forwardThe catalyzed decomposition of hydrogen peroxide is first-order in [H2O2]. It was found that the concentration of H2O2 decreased from 0.24 M to 0.060 M over a period of 282 minutes. What is the half-life of H2O2? What is the rate constant for this reaction? What is the initial rate of decomposition at the beginning of this experiment (when [H2O2] = 0.24 M)?arrow_forward
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