When Will a Sealed Tin Can Burst Due to Heating?

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SUMMARY

The discussion centers on the conditions under which a sealed tin can will burst due to heating, specifically when the pressure inside reaches 500 kPa from an initial state of 200 kPa at 20°C. The correct temperature for bursting is determined to be 483°C, contrasting with an incorrect calculation of 459.5°C using the ideal gas law. The discrepancy arises from the assumption of constant volume and the need to consider real gas behavior, potentially involving the van der Waals equation.

PREREQUISITES
  • Understanding of the ideal gas law (Pv = RT)
  • Knowledge of pressure-temperature relationships (P1/T1 = P2/T2)
  • Familiarity with real gas behavior and deviations from ideal gas laws
  • Basic thermodynamics concepts related to gas expansion and pressure
NEXT STEPS
  • Study the van der Waals equation and its applications in real gas scenarios
  • Research the effects of temperature and pressure on gas behavior in sealed containers
  • Learn about thermodynamic principles related to gas expansion and compression
  • Explore the implications of using the ideal gas law versus real gas equations in practical applications
USEFUL FOR

Students in thermodynamics, engineers working with pressurized systems, and anyone interested in the physical properties of gases under varying conditions.

tigertan
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Homework Statement



Air inside a sealed tin can is initially at a pressure of 200 kPa and temperature of 20 ◦C. The tin can is
known to burst at a pressure of 500 kPa. If the pressure is raised through heating, at what temperature will
it burst?
If you used an air compressor to pump up the can to high pressure, would the temperature before bursting
be the same? If not, why not?

Homework Equations


Pv=RT
P1/T1=P2/T2



The Attempt at a Solution



I'm confused. Why can't I just use the perfect gas law with constant volume to solve for the second temperature?

I get a result of 459.5degrees but solutions state that the answer should be 483 degrees.
 
Physics news on Phys.org
I aslo get 459.5C.
Were you dealing with a state equation different than the ideal gas law, like van der Waals?
Or maybe the can is supposed to expand.
 

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