Problem No: $5$ A salesman for The Fabulous Co$.$ offered our surgical team a novel type of

a surgical tool that he claims to cut painlessly. It works by blowing a very cold air onto the tissue

to be cut. Tissue freezes, feeling disappears, and there is no need for anesthetics. "Fabulous!!"

He says that the heart of the device is a Hilsch tube, a device that splits a stream of high$-$pressure

air $)=\frac{1\mathrm{.}5}{b}ar,T_1=(27C$ into two equimolar streams, one how and the other cold, both at

pressures of $1$ bar. The cold stream side is then blown at the scalpel blade.

The salesman claims that the cold air is at $-123C.$ I don't believe that the air could get that cold

with such a simple device. Would you please determine whether his claims violate the laws of

thermodynamics?A cylinder fitted with a frictionless piston contains $2$ kg of steam at $0\mathrm{.}1$

MPa and $100\backslash$deg C$.$ It is first compressed isentropically to $1$ MPa and then heated reversibly at

constant pressure until the temperature reaches $400\backslash$deg C$.$ Calculate the heat transfer and the work

for the overall process.