I'm having trouble with this problem.(adsbygoogle = window.adsbygoogle || []).push({});

Here's what I know:

Since the gas is ideal, we can describe the initial state of the first container with:

[tex]p_1 V = n_{1i} R T_1[/tex]

Where p1 is the pressure in the first container, V is the volume of the first container, n1i is the initial number of moles present in the first container, R is the gas constant, and T1 is the temperature in the first container.

The same applies for the second container, with:

[tex]4 p_2 V = n_{2i} R T_2[/tex]

Same meanings for the constants as before, noting that 4V is the volume of the second container.

Then, after the valve has been opened, the pressures in both containers will be the same, and for the first container:

[tex]p_f V = n_{1f} R T_1[/tex]

for the second container:

[tex]4 p_f V = n_{2f} R T_2[/tex]

as you might guess, I'm using pf for the final pressure, n1f as the final number of moles in the first container, and n2f as the final number of moles in the second container.

I also know that the total number of moles in the two containers is invariant, so:

[tex]n_{1i} + n_{2i} = n_{1f} + n_{2f}[/tex]

That's all I have been able to come up with With five equations and six unknowns (n1i, n2i, n1f, n2f, V, pf), this is not a story with a happy ending. As far as I know, the problem is insoluble with the information I have here. There must be something else I'm supposed to realize about the problem, but I'm drawing a blank.

Can I get a hint here?

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# Homework Help: Ideal gas in two containers

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