Geothermal energy can be used to capture CO$2$ and sequester it under the sea. This technology can enable countries to achieve net$-$zero CO$2$ emissions by $2050.$ A device takes in $50$ MW of heat at a temperature of $500$ K $($geothermal well$)$ and discards

$35$ MW of heat at a lower temperature of $300$ K $($the sea$).$ The work output from this device powers a compressor. CO$2$ captured from various industrial sources is compressed from

an initial state of $1$ bar, $300$ K to a final pressure of $10$ bar. The compressor has an efficiency of $75\%.$ Use a Cp of $4$R where R is $8\mathrm{.}314$ J mol$-1$ K$-1.$ The compressor operates adiabatically and is at steady state. Use the ideal gas law.

$1.$ How many moles per second of CO$2$ can be compressed using the device?

$2.$ What is the total entropy generated by the system and the surrounding.

$3.$ If this setup is operational for $330$ days of the year, how many tons per annum of CO$2$ can be compressed?