Calculating Ethane Pressure and Mass in a Flask

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SUMMARY

The discussion focuses on calculating the final pressure and mass of ethane gas in a closed flask after a temperature change. The ideal gas law, represented as PV = nRT, is essential for solving the problem, where R is the ideal gas constant. The key points include that the volume of the flask remains constant after the stopcock is closed, and the pressure changes are directly related to the temperature changes. The molar mass of ethane (M) is also relevant for determining the mass remaining in the flask.

PREREQUISITES
  • Understanding of the ideal gas law (PV = nRT)
  • Knowledge of thermodynamic principles related to gas behavior
  • Familiarity with concepts of pressure, volume, and temperature relationships
  • Basic calculations involving molar mass and gas constants
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WY
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Hey - I'm doing this question (see below) but I don't have a clue where to start!

A flask with a volume of V, provided with a stopcock, contains ethane gas at a temperature of T_0 and atmospheric pressure p_0. The molar mass of ethane is M. The system is warmed to a temperature of T, with the stopcock open to the atmosphere. The stopcock is then closed, and the flask cooled to its original temperature.

What is the final pressure of the ethane in the flask?

and

How many grams of ethane remain in the flask? Use R for the ideal gas constant.

for the first part i tried relating the initial and final pressures and volumes as a ratio... but that didn't work and since I don't have the volume of the actual gas which changes I can't apply the pV=nCRT equation...
Can someone tell me how to start?

Thanks in advance!
 
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WY said:
Hey - I'm doing this question (see below) but I don't have a clue where to start!

A flask with a volume of V, provided with a stopcock, contains ethane gas at a temperature of T_0 and atmospheric pressure p_0. The molar mass of ethane is M. The system is warmed to a temperature of T, with the stopcock open to the atmosphere. The stopcock is then closed, and the flask cooled to its original temperature.

What is the final pressure of the ethane in the flask?

and

How many grams of ethane remain in the flask? Use R for the ideal gas constant.

for the first part i tried relating the initial and final pressures and volumes as a ratio... but that didn't work and since I don't have the volume of the actual gas which changes I can't apply the pV=nCRT equation...
Can someone tell me how to start?

Thanks in advance!

I don't know about the C in pV=nCRT. The usual representation of the ideal gas law is PV = nRT, where R is a constant. In this problem, the pressure is constant during heating, and the volume of the flask is constant for the whole problem. During heating, PV is constant and you are raising the temperature. What has to change, and how is that change related to the temperature change?
 
Thanks for replying! Sorry I wrote down the wrong equation -_-
but in this problem doesn't the volume of gas change? So why doesn't it effect the way we caluclate it?
 
Nope, the problem essentially starts when the cork is closed, after which the volume is constant. I don't know why they included all that information, its just confusing, they should have just stated that the system started at a certain temperature and dropped.
 
oh I see! thanks for clearing that up now - its all crystal clear now!
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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