QUESTION $1$: SINGLE $-$ STAGE COMPRESSION

Explain the difference between ideal and non$-$ ideal gas?

$[4]$

During a single stage compression experiment the following data were collected

$\begin{array}{cc}\text{C}\text{o}\text{m}\text{p}\text{r}\text{e}\text{s}\text{s}\text{o}\text{r}\text{o}\text{u}\text{t}\text{l}\text{e}\text{t}\text{p}\text{r}\text{e}\text{s}\text{s}\text{u}\text{r}\text{e}& 1\text{b}\text{a}\text{r}\\ \text{M}\text{o}\text{t}\text{o}\text{r}\text{s}\text{p}\text{e}\text{e}\text{d}& 1000rpm\\ \text{C}\text{o}\text{m}\text{p}\text{r}\text{e}\text{s}\text{s}\text{o}\text{r}\text{s}\text{p}\text{e}\text{e}\text{d}& 485rpm\\ \text{M}\text{o}\text{t}\text{o}\text{r}\text{b}\text{r}\text{a}\text{k}\text{e}\text{p}\text{o}\text{w}\text{e}\text{r}\text{.}BP& 489\text{W}\text{a}\text{t}\text{t}\\ \text{I}\text{n}\text{l}\text{e}\text{t}\text{a}\text{i}\text{r}\text{t}\text{e}\text{m}\text{p}\text{e}\text{r}\text{a}\text{t}\text{u}\text{r}\text{e}& 32C\\ \text{O}\text{u}\text{t}\text{l}\text{e}\text{t}\text{a}\text{i}\text{r}\text{t}\text{e}\text{m}\text{p}\text{e}\text{r}\text{a}\text{t}\text{u}\text{r}\text{e}& 110C\\ \text{M}\text{a}\text{n}\text{o}\text{m}\text{e}\text{t}\text{e}\text{r}\text{l}\text{e}\text{v}\text{e}\text{l}1\text{:}2& 0\mathrm{.}06m\\ \text{A}\text{r}\text{m}\text{l}\text{e}\text{n}\text{g}\text{t}\text{h}& 0\mathrm{.}12m\\ \text{A}\text{i}\text{r}\text{b}\text{o}\text{x}\text{d}\text{i}\text{a}\text{m}\text{e}\text{t}\text{e}\text{r}& 0\mathrm{.}21m\\ \text{O}\text{r}\text{i}\text{f}\text{i}\text{c}\text{e}\text{d}\text{i}\text{a}\text{m}\text{e}\text{t}\text{e}\text{r}& 0\mathrm{.}015m\\ \text{P}\text{a}\text{t}\text{m}& 101325\frac{N}{m}2\\ \text{B}\text{o}\text{r}\text{e}\text{d}\text{i}\text{a}\text{m}\text{e}\text{t}\text{e}\text{r}& 0\mathrm{.}065m\\ \text{S}\text{t}\text{r}\text{o}\text{k}\text{e}& 0\mathrm{.}051m\\ \text{O}\text{r}\text{i}\text{f}\text{i}\text{c}\text{e}\text{d}\text{i}\text{s}\text{c}\text{h}\text{a}\text{r}\text{g}\text{e}& 0\mathrm{.}6\\ R& 8\mathrm{.}314Pa.\frac{m^3}{k}*mol\\ \text{M}\text{a}\text{i}\text{r}& 0\mathrm{.}029K\frac{g}{m}ol\end{array}$

Calculate the following:

a$.$ Cylinder displacement

$[3]$

b$.$ Air delivery

$[8]$

c$.$ Isentropic power

$[5]$

Total: $20$ marks