Calc Volume and Temp of gas with changing conditions

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SUMMARY

The discussion focuses on calculating the volume and temperature of helium gas under varying conditions using the ideal gas law and related equations. The user attempted to calculate the volume of 18.75 moles of helium gas at 10.0°C and a gauge pressure of 0.035 atm, resulting in an incorrect volume of 3.27 * 10^4 m³, while the correct answer is 0.323 m³. The user has not yet addressed part b of the problem, which involves calculating the temperature when the gas is compressed to half its volume at a gauge pressure of 1.00 atm. A critical error identified is the need to convert pressure from atm to pascals for accurate calculations.

PREREQUISITES
  • Understanding of the Ideal Gas Law (PV=nRT)
  • Knowledge of unit conversions, specifically from atm to pascals
  • Familiarity with the concept of gauge pressure versus absolute pressure
  • Basic algebra for manipulating equations
NEXT STEPS
  • Learn about unit conversions between atm and pascals for gas calculations
  • Study the implications of gauge pressure in thermodynamic equations
  • Explore the application of the combined gas law (P1V1/T1 = P2V2/T2)
  • Investigate the behavior of gases under compression and the resulting temperature changes
USEFUL FOR

Students studying thermodynamics, physics enthusiasts, and anyone involved in gas law calculations in chemistry or engineering contexts.

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Homework Statement



If 18.75 mol of helium gas is at 10.0C and a gauge pressure of 0.035atm, calculate a) the volume of the helium gas under these conditions. b) calculate the temp if the gas is compressed to half the voume at a gauge pressure of 1.00atm.


Homework Equations



PV=nRT
P1V1/T1 = P2V2/T2
Tk = Tc + 273
absolute press = gauge press +1atm


The Attempt at a Solution



V=nRT/P = (18.75mol * 8.315 J/mol K * 283K) / 1.35 atm = 3.27 *10^4 m3

Book answer = 0.323 m3

Haven't yet attempted part b, because haven't yet calculated V correctly. Anybody see where I went wrong? Thanks!
 
Physics news on Phys.org
Pressure is in pascals not atm. 1 atm = 101325 Pa.
 

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