A gas in a piston–cylinder assembly undergoes a compression process for which the relation between pressure and volume is given by p = AV2 + BV-2 (p is in bar and V is in m3). The initial volume is 0.1 m3, and the initial pressure is 1 bar. The final volume is 0.04 m3, and the final pressure is 2 bar. Determine:

1.

2.

Explanation:

Hello,

1. In this case, for the given p-V equation, one could use the two states to form a 2x2 linear system of equations in terms of A and B:

Whose solution by any method for solving 2x2 linear system of equations (elimination, reduction or substitution) is:

2. Now, for us to compute the work, we must first compute n, as the power relating the pressure and volume for this process:

Now, we compute the work:

Regards.

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