N₂O (laughing gas)is used as an anesthetic.A dentist has a 2.00 L flask of N₂O at a pressure of 1.00 atm and a 3.00 L flask of nitrogen gas at 2.00 atm that are separated by a valve.What is the pressure in the flasks when the valve is opened and the gases mix together? Both flasks are at the same temperature,and the temperature does not change when the gases mix.

Question

Quizplus · Accepted Answer

When the valve is opened, the gases will mix evenly throughout the total volume, which is 2.00 L + 3.00 L = 5.00 L. According to the combined gas law, the pressure of the mixture will be:

(P1V1/T1) + (P2V2/T2) = Pfinal (V1+V2/Tfinal)

Since the temperature is constant, we can simplify the equation to:

(P1V1 + P2V2) / (V1 + V2) = Pfinal

Substituting the values given in the problem, we get:

(P1V1 + P2V2) / (V1 + V2) = (1.00 atm * 2.00 L + 2.00 atm * 3.00 L) / (2.00 L + 3.00 L) = 1.60 atm

Therefore, the pressure in the flasks when the gases mix together is 1.60 atm, which is answer choice C.

N2O (Laughing Gas)is Used as an Anesthetic

N₂O (Laughing Gas)is Used as an Anesthetic