Concept explainers
Interpretation:
The total volume and the partial pressures of the gases formed from the decomposition of nitroglycerin are to be calculated.
Concept Introduction:
The expression foran ideal gas equation is
Here,
The expression to calculate mole fraction
Here,
The relation between partial pressure
The number of moles is given by the expression, which is as:
The conversion factor is
So the moles can be calculated by the expression as:
The conversion of temperature from degree Celsius to Kelvin can be done by using the formula given below:
Answer to Problem 98AP
Solution:
Explanation of Solution
Given information:
Pressure is
Mass of nitroglycerine is
The mass of
Invert the conversion factor, whichbecomes
According to the given reaction, the mole ratio of nitroglycerine and the products is
Therefore, the conversion factor becomes
Multiply the conversion factors with the mass of nitroglycerine in order to calculate the moles of the products as
The moles can be calculated by the expression as
Temperature is in Celsius. Convert it into Kelvin as:
The expression foran ideal gas equation is
Rearrange the above expression for
Substitute
As the minimum number of significant figures is 2, the final answer should also contain two significant figures, that is,
The relation between partial pressure and total pressure is
The formula to calculate the mole fraction is
Now, calculate the mole fractions of each product.
For
For
For
For
For
For
For
For
The total volume of the gas is
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Chemistry