Question

Name - #: Section: 0301 Problem #3 (40 points): A closed piston-cylinder assembly containing 1 kg of air ($R_{air} = 0.287 \frac{kJ}{kg \cdot K}$) undergoes the cycle described below. Assume the air behaves as an ideal gas. 1$\to$2) Constant temperature expansion from $T_1 = 600$ K and $p_1 = 0.5$ MPa to $p_2 = 0.4$ MPa 2$\to$3) Polytropic expansion with exponential $n = 1.315$ to $p_3 = 0.3$ MPa 3$\to$4) Constant pressure compression to $v_4 = v_1$ 4$\to$1) Constant volume heating (a) Sketch the cycle on $P-v$ and $T-v$ diagrams, (b) Complete the property table below, (c) Specify if this is a power or a refrigeration cycle, and (d) Compute the coefficient of performance or thermal efficiency. State $p$ (MPa) $T$ (K) $v$ ($m^3/kg$) 1 0.5 600 2 0.4 3 0.3 4 DELL

          Name - #:
Section: 0301
Problem #3 (40 points): A closed piston-cylinder assembly containing 1 kg of air
($R_{air} = 0.287 \frac{kJ}{kg \cdot K}$) undergoes the cycle described below. Assume the air behaves as an ideal gas.
1$\to$2) Constant temperature expansion from $T_1 = 600$ K and $p_1 = 0.5$ MPa to $p_2 = 0.4$ MPa
2$\to$3) Polytropic expansion with exponential $n = 1.315$ to $p_3 = 0.3$ MPa
3$\to$4) Constant pressure compression to $v_4 = v_1$
4$\to$1) Constant volume heating
(a) Sketch the cycle on $P-v$ and $T-v$ diagrams,
(b) Complete the property table below,
(c) Specify if this is a power or a refrigeration cycle, and
(d) Compute the coefficient of performance or thermal efficiency.
State  $p$ (MPa)     $T$ (K)      $v$ ($m^3/kg$)
1      0.5           600
2      0.4
3      0.3
4
DELL

Name - #:
Section: 0301
Problem #3 (40 points): A closed piston-cylinder assembly containing 1 kg of air
(Rair = 0.287 (kJ)/(kg · K)) undergoes the cycle described below. Assume the air behaves as an ideal gas.
1→2) Constant temperature expansion from T1 = 600 K and p1 = 0.5 MPa to p2 = 0.4 MPa
2→3) Polytropic expansion with exponential n = 1.315 to p3 = 0.3 MPa
3→4) Constant pressure compression to v4 = v1
4→1) Constant volume heating
(a) Sketch the cycle on P-v and T-v diagrams,
(b) Complete the property table below,
(c) Specify if this is a power or a refrigeration cycle, and
(d) Compute the coefficient of performance or thermal efficiency.
State p (MPa) T (K) v (m^3/kg)
1 0.5 600
2 0.4
3 0.3
4
DELL

Added by Charles R.

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