Question

Consider CO at 500 K and 1000 kPa at an initial state that expands to a final pressure of 200 kPa in an isentropic manner. Report the final temperature in units of K and using three significant digits.

Answer 1

`T_2=315.69k`

Step-by-step explanation:

Initial Temperature
`T_1=500K`

Initial Pressure
`P_1=1000kPa`

Final Pressure
`P_2=200kPa`

Generally the gas equation is mathematically given by

`(T_2)/(T_1)=(P_2)/(P_1)^{(n-1)/(n)}`

Where

n for
`CO=1.4`

Therefore

`(T_2)/(500)=(200)/(1000)^{(1.4-1)/(1.4)}`

`T_2=315.69k`