How to Calculate the Volume of a Cylinder Using Ideal Gas Equation?

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SUMMARY

The discussion focuses on calculating the volume of a cylinder containing an ideal gas using the Ideal Gas Law (PV=nRT). The problem involves a gas transfer from one cylinder to another with known pressure and volume, specifically 300 cm³ at 790 mmHg. The pressure change in the first cylinder from 650 mmHg to 630 mmHg is used to determine the moles of gas transferred, allowing for the calculation of the unknown volume of the first cylinder.

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  • Understanding of the Ideal Gas Law (PV=nRT)
  • Knowledge of pressure units (mmHg)
  • Basic concepts of moles and gas behavior
  • Ability to manipulate algebraic equations
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Homework Statement


An ideal gas is stored in a cylinder whose volume is unknown. Part of this gas is transferred to another cylinder whose volume is 300 cm3 and pressure is 790 mmHg. The mass loss caused the pressure in the first cylinder to decrease from 650 to 630 mmHg. Considering that all measurements were taken at constant temperature, calculate the volume of the cylinder.

Homework Equations


PV=nRT
PV=k

I just can't get it started.

Thank you in advance!
 
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Let n0 represent the number of moles of gas originally in the cylinder, and let n0-Δn be the number of moles remaining after part of the mass was transferred to the other cylinder. How many moles were transferred to the other cylinder. Let V equal to the volume of the cylinder of interest. Write the ideal gas equation for the conditions in the cylinder of interest both before the transfer of mass and after the transfer of mass. Also write the ideal gas equation for the conditions in the cylinder to which the mass was transferred.

Chet
 
Chestermiller said:
Let n0 represent the number of moles of gas originally in the cylinder, and let n0-Δn be the number of moles remaining after part of the mass was transferred to the other cylinder. How many moles were transferred to the other cylinder. Let V equal to the volume of the cylinder of interest. Write the ideal gas equation for the conditions in the cylinder of interest both before the transfer of mass and after the transfer of mass. Also write the ideal gas equation for the conditions in the cylinder to which the mass was transferred.

Chet
The start I needed exactly. It seems simple after you get the 'hint'.

Thank you very much.
 

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