Two perfect gases A and B are inside a closed cylinder and are separated from each other by

a frictionless moving piston. The piston allows no heat transfer. The piston has a diameter of

$6cm$ and is additionally spring$-$loaded from one side by a linear compression spring with a

spring constant of $3000\frac{N}{m}.$ The cylinder surface is perfectly insulated except for the left

side. In state $1$ the densities of both gases are the same.

Further data:

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Determine the pressure of gas $B$ in state $1.$

Cross entry: If you haven't solved sub$-$task $1,$ continue with $p_{B,1}=1,7$ bar.

Determine the force that the piston has on the compression spring in state $1.$

Heat is removed from the system via the left side surface until the gas volume A has changed

by $25\%$ in state $2.$

Sketch the change of state for gases A and B with labeling gas and state in a p$-$T diagram.

Calculate the difference in length of the spring for this change in state.

Give the first law for chamber B and determine the pressure and temperature of gas B in

state $2$ as well as the work of volume change of gas B from $1$ to $2.$

Cross entry: If you haven't solved sub$-$task $4$ and$/$or $5,$ continue with a difference in length of

$2cm,$ with $p_{B,2}=1,2$ bar and $T_{B,2}=350K.$

Calculate the pressure and temperature of gas $A$ in state $2.$

What heat must be rejected from gas A from $1$ to $2?$

Calculate the irreversibly generated entropy for the change from $1$ to $2$ at an ambient

temperature of $15C.$ Give the value in $m\frac{J}{K}!$