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

AI Thread Summary
To calculate the volume of an unknown cylinder containing an ideal gas, the ideal gas equation (PV=nRT) is applied before and after transferring gas to a second cylinder with a known volume and pressure. The initial and final pressures in the first cylinder are given, allowing for the calculation of moles transferred. The discussion emphasizes understanding the relationship between pressure, volume, and moles to derive the unknown volume. Participants express appreciation for the guidance provided in starting the calculations. The conversation highlights the importance of using the ideal gas law in practical applications.
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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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