Analysis of a multi$-$step process

f$)$ A continuously operating, two$-$step process takes a stream of methane at $300K$ and $6$MPa

flowing at $0\mathrm{.}6k\frac{g}{s}$ and cools it under isobaric conditions to $200K.$ In a second step, the

methane undergoes an adiabatic expansion process $($i$.$e$.,$ throttle valve$)$ to $0\mathrm{.}4$MPa during

which no work is performed $($i$.$e$.,$ through a throttle valve$).$ Any liquid and any vapor

generated by the process separate by their differences in density and exit the process as

individual streams.

i$)$ Draw the two$-$step process on the thermodynamic diagram for methane and submit it with

your problem set.

ii$)$ Determine the required cooling rate for the first step assuming that no work is performed

during that part of the process.

iii$)$ Determine the flow rates and temperatures of the liquid and vapor stream exiting the

final throttling process.

g$)$ Repeat f$)$ using the NIST website to obtain more accurate results.