What volume would this air occupy at STP?

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In summary, the conversation discusses finding the volume of air in a compressed-air tank at STP, given its diameter, height, and pressure. After some initial attempts, it is discovered that the correct answer can be found using Avogadro's law. The final answer is .56 m^3.
  • #1
Bigworldjust
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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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  • #2
Check into Avogadro's law. An ideal gas occupies a specific number of litres per mole at STP.
 
  • #3
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!
 

1. What does STP stand for?

STP stands for Standard Temperature and Pressure. It is a set of standard conditions used for scientific experiments and calculations.

2. What is the standard temperature and pressure at STP?

The standard temperature at STP is 0 degrees Celsius or 273.15 Kelvin, and the standard pressure is 1 atmosphere or 101.325 kilopascals.

3. Why is STP used in scientific calculations?

STP is used as a reference point for comparing different gases and their properties. It allows for consistent and accurate measurements in scientific experiments and calculations.

4. How is the volume of air calculated at STP?

The volume of air at STP can be calculated using the ideal gas law, which states that the volume of a gas is directly proportional to its temperature and inversely proportional to its pressure. Using the values for STP, the calculation becomes simpler and more accurate.

5. Can the volume of air at STP change?

Yes, the volume of air can change at STP if either the temperature or the pressure changes. However, as long as the conditions remain at STP, the volume of air will remain constant.

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