Two 2 liter glass bulbs A and B are connected with a stopcock. Initially bulb A

Question

Two 2 liter glass bulbs A and B are connected with a stopcock. Initially bulb A is filled with He gas at a pressure of 1 atm, and bulb B is filled with Ne gas at 1 atm. The system is in equilibrium with the surroundings at 250K. The stopcock is opened and mixing occurs. Assuming ideal gas behavior, calculate deltaU, deltaH, Q, and calculate deltaS_surroundings, and deltaS_universe.

thank you I'm really stuck working this problem because all of my other example relative to it have two different pressure's for A and B but this one has both pressures equal to 1 atm.

Explanation / Answer

The ideal gas is defined as a gas which obeys the following equation of state:

      Pv = RT

The internal energy of an ideal gas is a function of temperature only. That is,

      u = u(T)

Using the definition of enthalpy and the equation of state of ideal gas to yield,

      h = u + P v = u + RT

Since R is a constant and u = u(T), it follows that the enthalpy of an ideal gas is also a function of temperature only.

      h = h(T)

Since the temperature doesnot change during the process, there is no change in internal energy and hence enthalpy.

therefore, deltaU = deltaH = 0.

For a isothermal process, Q = RT ln(P1/P2)

After mixing of the gases, the pressure reduces to 1/2;

Q=Pv ln (2) (since RT=Pv)

putting in the values pf P and v the answer would be obtained.

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