The van der Waals equation of state was designed to predict the relationship between pressure p, volume Vand temperature T for gases better than the Ideal Gas Law: gas 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. X Y -nb)=nRT Z boiling point °C 7.6 -7.3 The van der Waals equation of state. R stands for the gas constant and in for the moles of gas. -19.9 particle diameter pm 161. 210. 187. size of a (Choose one) (Choose one) (Choose one) size of b (Choose one) (Choose one) (Choose one)

Calculate the molar volume of ethane at 1.00 atm and 0C and at 10.0 atm and 0C, using the van der Waals equation. The van der Waals constants are given in Table 5.7. To simplify, note that the term n2a/V2 is small compared with P. Hence, it may be approximated with negligible error by substituting nRT/P from the ideal gas law for V in this term. Then the van der Waals equation can be solved for the volume. Compare the results with the values predicted by the ideal gas law.

Describe the factors responsible for the deviation of the behavior of real gases from that of an ideal gas.

perform stoichiometric ca1cu1uions for reactions involving gases as reactants or products.

A mixture at 33 °C contains H2at 325 torr. N;at 475 tore and O2at 650. torr. What is the total pressure of the gases in the system? Which gas contains the greatest number of moles?

A 275-mL sample of CO gas is collected over water at 31C and 755 mmHg. If the temperature of the gas collection apparatus rises to 39C, what is the new volume of the sample? Assume that the barometric pressure does not change.

In the anaerobic oxidation of glucose by yeast, CO2 is produced: If 1.56 L of CO2 were produced at 22.0 C and 0.965 atm, what mass of C6H12O6 is consumed by the yeast? Assume the ideal gas law applied.

Consider a 5.00-L tank containing 375 g of Ar at a temperature of 25 C. (a) Calculate the pressure in the tank using both the ideal gas law and the van der Waals equation. (b) Which correction term, a(n/V)2 or bn, has the greatest influence on the pressure of this system?

A 0.245-L flask contains 0.467 mol CO2 at 159 C. Calculate the pressure: (a) using the ideal gas law (b) using the van der Waals equation (c) Explain the reason for the difference. (d) Identify which correction (that for P or V) is dominant and why.

Consider a 5.00-L tank containing 325 g of H2O at a temperature of 275 C. (a) Calculate the pressure in the tank using both the ideal gas law and the van der Waals equation. (b) Which correction term, a(n/V)2 or bn, has the greatest influence on the pressure of this system?