Do the previous problem but do not use constant specific

Chapter 3, Problem 153HP

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QUESTION:

Problem 153HP

Do the previous problem but do not use constant specific heat.

Reference Problem:

Air in a piston/cylinder is at 1800 K, 7 MPa and

expands in a polytropic process with n = 1.5 to

a volume eight times larger. Find the specific work

and specific heat transfer in the process and drawthe

P–v diagram. Use constant specific heats to solve

the problem.

Questions & Answers

QUESTION:

Problem 153HP

Do the previous problem but do not use constant specific heat.

Reference Problem:

Air in a piston/cylinder is at 1800 K, 7 MPa and

expands in a polytropic process with n = 1.5 to

a volume eight times larger. Find the specific work

and specific heat transfer in the process and drawthe

P–v diagram. Use constant specific heats to solve

the problem.

ANSWER:

Step 1 of  4

We have to find the specific work and specific heat transfer in the process and also draw the  diagram.

The specific work done in a polytropic process with ()can be found using the expression.

Where,

gas constant for air

     = 0.287 kJ/kgK

= 1.5

K

final temperature in K

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