BIOE $2282$ Bioengineering Thermodynamics $-$ Midterm II$-$ Part I

$21\mathrm{.}05\mathrm{.}2024$

An ideal gas undergoes an irreversible adiabatic compression from $2\mathrm{.}5$ bar and $20C$ to $8$ bar. The work required is $20\%$ greater than the work for a reversible one with same conditions. Calculate the entropy changes of the gas.

$C_v=(\frac{5}{2})R,C_p=(\frac{7}{2})R$

A young scientist aims to construct an engine by using hot and cold reservoirs. The engine is planned to produce $0\mathrm{.}50kJ$ of work per $kJ$ of heat transferred from the hot one. Temperatures of the reservoirs are $20C$ and $200C.$ Is the scientist's theory applicable?

$(33$ points$)$