Task$5$

please only do question $5$b

$[$Pass Criterion P$9]$

A pressurised air tank supplies compressed air to a new hybrid air engine. When the hybrid engine is not running the absolute pressure in the tank is $300$ bar and the temperature of the air is $50^($@$)$C$.$

Typical gas molecular values:

Gas Symbol M$\_($r$)($g$//$mol$)$ Hydrogen H$\_(2)2$ Oxygen O$\_(2)32$ Carbon Dioxide CO$\_(2)44$ Methane CH$\_(4)16$ Nitrogen N$\_(2)28$ Air $($nne available$)28\mathrm{.}96$

Calculate:

$($a$)$ The temperature of the air in the high pressure air tank when the air engine starts and the absolute pressure in the tank drops to $280$ bar. Volume remains constant.

$($b$)$ The mass of air in the pressurised air tank using the temperature and pressure from part $1($a$)$ and the information given here below.

Note:$1\backslash (\backslash$mathrm$\{$m$\}^\{3\}=1000\backslash )$ litres $\backslash (1\backslash$mathrm$\{$bar$\}=1\backslash$times $10^\{5\}\backslash$mathrm$\{$~Pa$\}\backslash )$ R is the universal gas constant and is always $\backslash (8\mathrm{.}314\backslash$mathrm$\{$~J$\}\backslash$cdot $\backslash$mathrm$\{$~K$\}^\{-1\}\backslash$cdot $\backslash$mathrm$\{$~mol$\}^\{-1\}\backslash )$ Tank volume $\backslash (=450\backslash )$ litres $\backslash (\backslash$mathrm$\{$DV$\}=(\backslash$mathrm$\{$m$\}/\backslash$mathrm$\{$Mr$\})\backslash$mathrm$\{$RT$\}\backslash )$

Checklist of evidence required: Show full working out calculations in determining what has been asked in parts a to b above.