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Contents

1 Problem 8.95

1.1 Statment

see book.

1.2 Assumptions

air is ideal gas

constant specific heat coefficients

1.3 Laws

 for adiabatic process

1.4 Steps

Control mass energy equation gives

Since adiabatic, then , hence

But , hence above becomes

Need to find

Since adiabatic, then

Where

So equation (1) becomes

Mass can be found from ideal gas law. , hence , so equation (2) becomes

1.4.1 Numerical

For air, from table A.5, use KJ/Kg-K,, , so equation (3) becomes

NOw To find the length.

1.5 Steps

Hence

But and , so , hence

So

but hence

1.5.1 Numerical

Given , so