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We are to compare the effect of a shock wave, that is the irreversibilities associated.

We have comptued that the upstream and downstream velocities of a shock wave are 1029 m/s and 266.8 m/s respectively.

The upstream pressure and temperature is 105kPa and 290K.

What question proceed to ask that what would be the pressure if the velocity had been reduced isentropically from the initial velocity to that behind the shock.

How would you compute it?

I use the continuity equation to work out the ratio between upstream and downstream densities.

Then use the isentropic relation p/(roll^gamma)=constant to compute the pressure. But it turns out I am wrong.

Can anyone help? And also tell me why I am wrong? Thanks.