$T_1=740C,P_1=200$kPa

$V_1=30L$

$R_s=287\frac{f}{kg}*K$

$T_1=740C+273,15=1013,15K$

$P_1*V_1=m*R_s*T_1,m=\frac{P_1*V_1}{R_s*T_1}=\frac{200\text{k}\text{P}\text{a}*30(L)}{287\frac{V}{kg*K*1013,15(K)}}=0,02063(kg)$

as $R_s$ is in $K$ we are going to change Temperature fromic to $K$

Evaluate the effects of thermodynamic process parameters on thermodynamic systems, while explaining the need for and correctly converting between different temperature scales and calculating accurately unknown values for a range of given polytropic processes

You then need to:

Complete the following calculations, using the data provided for Gases B and C$,$ where Parts $1,2,3$ and $4$ relate to different polytropic processes:

Part $1-$ A cylinder of air occupies a volume of $30$ litres. The temperature of the gas is $T1$ and the pressure is $P1($see data table$).$

Assume the gas constant of air is $287Jk{g}^{-1}{K}^{-1}.$ Calculate the mass of the air.

Part $2-$ A piston contains air at temperature T$1$ and pressure $P1($see data table$).$ The air is heated to $1200K$ while being kept at a constant volume of $5$ litres.

Assume the gas constant for air is $287Jk{g}^{-1}{K}^{-}1.$

Calculate the pressure and the mass of the air following heating.

Part $3-$ A cylinder contains a gas at temperature $200C($T$1),$ volume $5$ litres $($V$1)$ and a pressure of $2\mathrm{.}2$ MPa $($P$1).$ The polytropic process index value $(n)$ of the gas in its initial state is $1\mathrm{.}1.$ Assume the gas constant for the gas is $188Jk{g}^{-1}{K}^{-1}.$

Calculate the initial mass of the gas.

The gas is then cooled to a temperature of T$2.$ At this temperature the pressure is $P2.$ Find the polytropic process index value $(n)$ for the gas after it has been cooled.

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