Question

An ideal gas Carnot cycle with air in a piston cylinder has a high temperature of 1200 K and a heat rejection at 400 K. During the heat addition the volume triples. Find the two specific heat transfers (q) in the cycle and the overall cycle efficiency. Solution:

Answer 1

Answer:

The specific heat capacity is q_{L}=126.12kJ/kg

The efficiency of the temperature is n_{TH}=0.67

Explanation:

The p-v diagram illustration is in the attachment

T_{H} means high temperature

T_{L} means low temperature

The energy equation :

$q_{h}$ = R* $T_{h}$ in($V_{2}$/$V_{1}$)

   $=0.287 * 1200 ln(3)$

   $=0.287*1318.33$

   $=378.36kJ/kg$

The specific heat capacity:

$q_{L}$=q_{h}*(T_{L}/T_{H})

q_{L}=378.36 * (400/1200)

q_{L}=378.36 * 0.333

q_{L}=126.12kJ/kg

The efficiency of the temperature will be:

$n_{TH}$=1 - ($T_{L}$/$T_{H}$)

n_{TH}=1-(400/1200)

n_{TH}=1-0.333

n_{TH}=0.67