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CHEM20018 Fundamentals & Thermodynamics Tutorial 1, 2025

1.      Using the available data calculate atmospheric pressure, Po.

2.      Estimate the mean speed of air particles at 20° C, given that 78% of air consists of nitrogen.

3.      The speeds of eight gas molecules were found to be 100.0, 400.0,

400.0, 600.0, 600.0, 600.0, 800.0, and 1000.0 m/s.  Calculate their average speed (vav) root mean square speed (vrms), and most probable speed (vm).  At any instant in time what is the average velocity of all  gas molecules in the sample? Calculate the vrms  of a molecule of N2(g) at 300K. Calculate the average kinetic energy.

4.      Given experimentally determined rate constants, k, as a function of temperature, set up a spreadsheet to determine the activation energy assuming Arrhenius behaviour. Discuss the goodness of fit criteria.

T (K)           k (L/mol/s)

250.00        1.00E+02

280.00        1.20E+02

320.00        2.33E+02

350.00        3.15E+02

400.00        4.94E+02

430.00        6.10E+02

480.00        8.20E+02

500.00        1.00E+03

5.      For the following data compare a fit ofthe linearised data to a non- linear least-squares fit.