The van der Waals equation of state was designed to predict the relationship bet
ID: 560805 • Letter: T
Question
The van der Waals equation of state was designed to predict the relationship between pressure p, volume V and temperature T for gases better than the Ideal Gas Law: (na 2)(V-nb)-nRT The van der Waals equation of state. R stands for the gas constant and n for the moles of gas. alo The van der Waals parameters a and b have to be determined for each gas by comparing to experimental data. Consider the hypothetical gases X, Y and Z. listed in the table below. Use the information provided to decide the relative size of the van der Waals parameters a and b. boiling point particle diameter size of b (Choose one) (Choose one) (Choose one) gas size of a pm 264. 239 292. || (Choose one) 1 (lowest) -3.1 19.6 13.7 3 (highest) (Choose one)Explanation / Answer
Vander waals parameter 'a' depends on the attraction forces between gaseous molecules. As we can see that order of boiling point given is X < Z < Y.
If a gas have less attraction forces between molecules then its molecules can be easily spaced from each other. Therefore, pressure increase on heating this gas will be more or we can say that it can be boiled easily. Hence order of boiling point and vander waals parameter 'a' will be same i.e. X < Z < Y
Vandeer waals parameter 'b' is basically excluded volume from the volume of the container. Larger the gas molecule, larger will be the excluded volume. Therefore, order of vander waals parameter will be directly proportional to the size of gas molecule.
Order of vander waals parameter 'b' will be : Y < X < Z
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