$3.$ In an ammonia compressor vapours enter at $2\mathrm{.}908$ bar saturated and leave at $15\mathrm{.}55$ bar and $\backslash (112^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ).$ Determine specific volumes at suction and discharge.

The compressor is twin cylinder single acting with stroke to bore ratio of $1,$ speed $\backslash (=1440\backslash$mathrm$\{$rpm$\}\backslash )$ and rated for $10$ TR at evaporator and condenser temperatures of $\backslash (-10^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ and $\backslash (40^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ respectively. Find the diameters of the cylinders, assuming $\backslash (4\backslash \%\backslash )$ clearance. Use the following data:

For superheated ammonia at $15\mathrm{.}55$ bar