What volume would this air occupy at STP?

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SUMMARY

The discussion centers on calculating the volume of air from a compressed-air tank at Standard Temperature and Pressure (STP). The tank has a diameter of 12.0 cm and a height of 50.0 cm, with an internal pressure of 110 atm at 30.0°C. The correct volume calculation involves using the ideal gas law, resulting in a final volume of 0.56 m³ after correcting initial conversion errors. The importance of Avogadro's law in determining the volume occupied by gas at STP is emphasized.

PREREQUISITES
  • Understanding of the ideal gas law (PV=nRT)
  • Knowledge of Avogadro's law
  • Familiarity with unit conversions, particularly between liters and cubic meters
  • Basic concepts of pressure and temperature in gas calculations
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  • Study the ideal gas law in detail, focusing on its applications in real-world scenarios
  • Explore Avogadro's law and its implications for gas volume calculations
  • Practice unit conversions between different volume measurements
  • Investigate the effects of temperature and pressure changes on gas volume
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Students in chemistry or physics, educators teaching gas laws, and anyone involved in practical applications of gas behavior under varying conditions.

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Homework Statement



A 12.0 cm-diameter compressed-air tank is 50.0 cm tall. The pressure at 30.0 C is 110 atm .

What volume would this air occupy at STP?

Homework Equations



V=nRT/P


The Attempt at a Solution



The first question asked to find the amount of moles of air in the tank, and got it right with an answer of 25. So I plugged in:

(25mols)(.0821)(273K)/(1*10^5)

And got .0056 m^3, but that seems to be wrong. Any help would be appreciated. Thanks!
 
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Check into Avogadro's law. An ideal gas occupies a specific number of litres per mole at STP.
 
cepheid said:
Check into Avogadro's law. An ideal gas occupies a specific number of litres per mole at STP.

Ah okay, so I converted wrong. It would be .56 m^3. Thanks!
 

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