In another test, the valve of a 500-L cylinder full of the gas mixture at 2000 psi (gauge pressure) is opened wide so that the gas rushes out of the cylinder very rapidly. Why might some N2O condense during this process? (a) This is an isochoric process in which the pressure decreases, so the temperature also decreases. (b) Because of the rapid expansion, heat is removed from the system, so the internal energy and temperature of the gas decrease. (c) This is an isobaric process, so as the volume increases, the temperature decreases proportionally. (d) With the rapid expansion, the expanding gas does work with no heat input, so the internal energy and temperature of the gas decrease.

Step by step solution

01

Step 1:

The work done by the gas on surrounding increases as a result there is no heat transfer as the gas expands rapidly and thus the process is considered as an adiabatic process.

02

Step 2:

As in adiabatic process Q=0

Very small amount of heat is exchanged because of less time. Work done comes from internal energy. ∆U depends on change in temperature so some amount of N2O gas is condensed as the temperature decreases.

Thus, With the rapid expansion, the expanding gas does work with no heat input, so the internal energy and temperature of the gas decrease.

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