Solve Thermodynamics Problem: Find Mass of Gas Leaving Open Container

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Homework Help Overview

The problem involves an open container of ideal gas, where the temperature is raised from T1 to T2 while maintaining constant pressure P. The objective is to determine the mass of gas that escapes the container as a result of this temperature change.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to find the mass of gas leaving the container but expresses difficulty in arriving at a solution. Some participants emphasize the need to show work for effective assistance. Others reference the ideal gas law and explore relationships between pressure, volume, and temperature to derive expressions for mass. There are also mentions of using ratios of volumes and temperatures.

Discussion Status

The discussion is ongoing, with participants sharing their attempts and reasoning. Some guidance has been provided regarding the use of the ideal gas law and the calculation of moles, but there is no clear consensus on the final approach or answer yet.

Contextual Notes

Participants note the importance of maintaining constant pressure and the implications of temperature changes on the gas's behavior. There is an acknowledgment of potential discrepancies in the problem statement or provided answers.

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Homework Statement


An Open container of volume V contains an ideal gas having molar mass M. If the temperature of the container is raised from T1 to T2, what mass of the gas will leave the container ? Assume that the gas pressure in the container is maintained at P.


Homework Equations





The Attempt at a Solution



I tried but failed. could anyone help me get the solution.
Thanks
 
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You have to show your work in order to get help here. What have you tried? I can't find you mistake without seeing your work.
 
I had this exact question on my thermal physics paper, not sure if I got it right though.

As it is, I am currently redoing the paper so I've attempted this too.

From PV = nRT

n = m/M, where m is mass of substance, and M is molar mass.

so PV = (m/M)RT

rearrange: m = PVM/RT.
That'll be the mass of the gas inside the container, I believe.

Not sure about the rest of it though, I am sure there's stuff to do with V1/T1 = V2/T2, and I've had a play around with them but I am not sure about a final answer.
 
Simply use the fact that because p,v are constant and pv=nrt,nt is constant,calculate initial moles from pv=nrt(p,v,t given,r is known).then calculate final no. of moles(again everything is given,(n1-n2)*M is the mass of the gas that left.
If you don't get the answer by this,then the question is wrong or the answer given in the book is wrong...
 

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