Two evacuated bulbs of equal volume are connected by a tube of negligible volume. One of the bulbs is placed in a constant-temperature bath at 245 K and the other bulb is placed in a constant-temperature bath at 350 K . Exactly 5 mol of an ideal gas is injected into the system. Calculate the final number of moles of gas in each bulb.

The final number of moles of gas in each bulb is 2.06 and 2.94 moles.

Explanation:

The number of moles can be calculated using Ideal Gas Law:

    (1)

Where:

P: is the pressure

V: is the volume

n: is the number of moles

R: is the ideal gas constant  

Solving equation (1) for n:

For bulb 1 we have:

and for bulb 2:

Dividing n₁ by n₂:

Since V₁ = V₂ and P₁ = P₂ we have:

  (2)

Also, we have that 5 mol of an ideal gas is injected into the system:

   (3)

By entering equation (3) into (2) we have:

   (4)

(4) into (3):

Therefore, the final number of moles of gas in each bulb is 2.06 and 2.94 moles.

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