Problem Set #4: Ideal Gas Assumptions Breakdown

University:
The Pennsylvania State University
Course:
CHEM 450 | Thermodynamics
Academic year:

2024
Views:

46

Pages:

1
Author:

Alexis H.

Problem Set #4 Assigned: January 17, 2024 Due: January 19, 2024 at 2:30 pm Upload your answers to the Canvas website. PDF files are preferred, but Microsoft Word, or image files will be accepted. Please check to make sure that your submission is legible. 1. Calculate the room-mean squared speed of H2 and O2 at 20 °C. 2. Explain how the ideal gas assumptions would break down for each case described below: (a) Assumption 1: Molecules are in ceaseless random motion, so that the equipartition theorem holds. What would happen to this assumption if the gravitational field was far stronger than that of the earth? (b) Assumption 2: The distance between molecules if far larger than their size. What would happen to this assumption if the pressure was far higher than 1 atm? (c) Assumption 3: Molecules only undergo elastic collisions. What would happen if the temperature was very low? 1 Vms 37 II v.ms 3 8.314 3 8.314 moi k 293 k 2016 103kgmol Vrms 478m s Vrms 1904mIs 2 a if thegravitationalfieldwere stronger the molecules in ceaseless motion wouldbreakdownbecause thestrongertheforcethe molecules would nolongerbe inrandom motion distancebetweenthe b this onewouldbreakdownbecause athighpressures the wouldbemore theinteractionsbetweenthem moleculeswouldbecomesmalland important C thisonewouldbreakdownbecause atlowtemperaturesthekineticenergyofthe molecules would belowmeaningthatthey would nothavetheamountofenergy requiredtohaveelasticcollisions