One type of gas mixture used in anesthesiology is a 50%/50% mixture (by volume)

Question

One type of gas mixture used in anesthesiology is a 50%/50% mixture (by volume) of nitrous oxide (N2O) and oxygen (O2), which can be premixed and kept in a cylinder for later use. Because these two gases don't react chemically at or below 2000 psi, at typical room temperatures they form a homogeneous single gas phase, which can be considered an ideal gas. If the temperature drops below -6C, however, N2O may begin to condense out of the gas phase. Then any gas removed from the cylinder will initially be nearly pure O2; as the cylinder empties, the proportion of O2 will decrease until the gas coming from the cylinder is nearly pure N2O. In a test of the effects of low temperatures on the gas mixture, a cylinder filled at 25.0 C to 2000 psi (gauge pressure) is cooled slowly and the pressure is monitored.

PART A)

What is the expected pressure at -5.00C if the gas remains a homogeneous mixture?

What is the expected pressure at -5.00 if the gas remains a homogeneous mixture?

Explanation / Answer

From dolton's law, total Pressure= Pn + Po; where Pn and Po are pressures from N20 and )2 respectively

Since the volume of 2 gases mixed is equal, P1=P2

Apply P1/T1= P2/T2 for N20 gas. At 25C N2O pressure= 2000/2=1000

1000/(273+25) = Pn/(273-5);

Since total pressure= 2*Pn= 1798.7= 1800psi

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