What volume would this air occupy at STP?

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The discussion revolves around calculating the volume of air from a compressed tank at standard temperature and pressure (STP). The user initially calculated the volume using the ideal gas law but arrived at an incorrect value of 0.0056 m³. After further consideration and checking Avogadro's law, the user corrected the conversion, determining the correct volume to be 0.56 m³. The conversation highlights the importance of accurate unit conversion in gas law calculations. Overall, the correct volume of air at STP from the tank is 0.56 m³.
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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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