A rigid container and a piston contains 1L of R-134a at 100 o C and 3.6 MPa. In an isobaric quasi-equilibrium process, the gas expands to 1.2L. The control volume has a uniform cross section 0.5 m2 and the piston can only move up and down. Ignore friction for simplicity.(a) The critical temperature and pressure of R-134a are 374.2 K and 4.06 MPa, r solutionspile.com

Question

A rigid container and a piston contains 1L of R-134a at 100 o C and 3.6 MPa. In an isobaric quasi-equilibrium process, the gas expands to 1.2L. The control volume has a uniform cross section 0.5 m2 and the piston can only move up and down. Ignore friction for simplicity.

(a) The critical temperature and pressure of R-134a are 374.2 K and 4.06 MPa, respectively. Is ideal gas law reliable for this process? [1 Pt]

b) What is the compressibility factor at the beginning of this process? [1 Pt]

(c) What is the compressibility factor at the reduced temperature of 0.8 and 3.6 MPa? [1 Pt]

(d) Interpolate the answers from (b) and (c) to get an estimation for the compressibility factor as a function of temperature through this process. [2 Pts]

(e) What are the work done and the final temperature? [4 Pts] (f) Two point interpolation can be a rough estimate. How can you potentially improve the accuracy of the methodology we used in this question? [1 Pt]

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6.

[10 Pts]

A rigid container and a piston contains

1 L

of

R ? 134 a

at

10 0^{?} C

and

3.6 MPa

. In an isobaric quasi-equilibrium process, the gas expands to

1.2 L

. The control volume has a uniform cross section

0.5 m^{2}

and the piston can only move up and down. Ignore friction for simplicity. (a) The critical temperature and pressure of R-134a are

374.2 K

and 4.06

MPa

, respectively. Is ideal gas law reliable for this process? [1 Pt]

1 L ? 1.2 L

volume expansion (b) What is the compressibility factor at the beginning of this process? [1 Pt] (c) What is the compressibility factor at the reduced temperature of 0.8 and

3.6 MPa

? [1 Pt] (d) Interpolate the answers from (b) and (c) to get an estimation for the compressibility factor as a function of temperature through this process. [2 Pts] (e) What are the work done and the final temperature? [4 Pts] (f) Two point interpolation can be a rough estimate. How can you potentially improve the accuracy of the methodology we used in this question? [1 Pt]

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