The van der Waals a and b parameters are usually determined from experiment, but
ID: 505429 • Letter: T
Question
The van der Waals a and b parameters are usually determined from experiment, but may also be estimated using the critical temperature (T_c) and critical pressure (P_e) of the gas: a = 27 R^2T^2c/64 P_c and b = RT_c/8Pc where R is the gas constant (0.082057338L.atm/mol K). The National Institute of Science and Technology (NIST) lists T_c and P_c for a number of gasses, including: a. Calculate a and b for each gas. These are your calculated or experimental values of the van der Waals parameters b. Collect the a and b values for the gases from your textbook or other sources, your source(s). These are the literature or true values for each of the van der Waals parameters. c. Calculate the the percent error for all your values of a and b. d. Construct a well organized table that summarizes all your work so far. Add additional information for each gas see Make sure to report values, clearly label each field (include units), and consider significant figures when recording your values. e. Analyze your tabulated values and determine what you consider to be the 'best' way to plot your values (a or b will be the ordinate). Briefly explain the reasons for your selection of the abscissa. You may want to use a different abscissa (ordering of results) for each plot. f Make two (2) based on your calculated values: one for a and a second for b versus plots the ordinate(s) you selected and defended in the last question. Include all your calculated values, axis labels, and a title. g. Identify and briefly discuss least one trend in a and and at least one trend in b.Explanation / Answer
given a = 27R2TC2/64PC and b= RTC/8PC
from the data of TC and PC , the values of a and b are calculated using excel. The % error based on literature value ( obtained fromhttps://en.wikipedia.org/wiki/Van_der_Waals_constants_(data_page) are compared and percentage error is calculated as percentage error = 100*(literature value- calculated value)/Literature value. The data on percentage error is tabulated and shown below
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