Concept explainers
A compound of P and F was analyzed as follows: Heating 0.2324 g of the compound in a
Interpretation:
The molecular formula of the gas is to be calculated.
Concept introduction:
The ideal gas equation elaborates the physical properties of gases by relating the pressure, volume, temperature, and number of moles linked 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 58QP
Solution:
Explanation of Solution
Given information:
Pressure
Temperature
Volume is
The pressure is
In 1mmHg, the pressure is
Convert mmHg to atm as follows:
The volume is
In 1cubic centimeter, there are
Convert cubic centimeter to liter as follows:
The temperature is 77°C.
The conversion of temperature from degree Celsius to kelvin can be done by using the formula given below:
The standard form of theideal gas equation is as follows:
Rearrange the above equation for the number of moles as follows:
Substitute
Calculate the molar mass as follows:
Substitute
The molar mass of fluorine is
Now, the mass of F in
The compound has P and H in the
Calculate the number of moles of fluorine as follows:
Substitute
The molar mass of phosphorous is
Calculate the number of moles of phosphorous as follows:
Substitute
So, the compound can be written as
As the empirical formula is always an integer, the subscript can be simplified by dividing the formula with
Calculate the Empirical formula massas follows:
Calculate the number of moles as follows:
Substitute
The molecular formula is always a whole number multiple.
So, the required molecular formula is
Therefore, the molecular formula of the gas is
The molecular formula of the gas is
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