Ill$-$Defined Problem:

Create a plot $($using excel or matlab or python$)$ showing the peak temperature $($T$3)$ in a standard Otto cycle as as function of compression ratio. At what compression ratio does the engine begin to melt?

Application:

Most jet engines operate with a large pressure ratio, resulting in temperatures of $1,500-1,700$ Degrees Celsius. Do some research on how engineers prevent the extreme temperatures from literally melting the turbine blades made from nickel. Write a few sentences talking about how jet engines don't melt.