Question

Air is to be compressed so that its volume is reduced to half of its original volume if the initial pressure is 200 kPa and the temperature is 20°C. Assume the ratio of specific heats is 1.4. Of the compression is done isentropically determine the required pressure.

Answer 1

`P_(2) = 527.803\,kPa`

Step-by-step explanation:

The politropic relationship for a isentropic process is:

`(P_(2))/(P_(1)) = \left((V_(1))/(V_(2)) \right)^(\gamma)`

Where
`\gamma` is the ratio of specific heats

The final pressure is:

`P_(2) = P_(1)\cdot \left((V_(1))/(V_(2))\right)^(\gamma)`

`P_(2) = (200\,kPa)\cdot (2)^(1.4)`

`P_(2) = 527.803\,kPa`