Question

A ideal gas undergoes a thermodynamic cycle which when represented on T-S diagram is a circle with maximum and minimum temperatures of 600 K and 300 K. What is its efficiency

Answer 1

Answer:

the efficiency of the above cycle is 41.5%

Explanation:

Refer the pic.

Answer 2

Efficiency is 41.5%.

Given:

Ideal gas undergoes a thermodynamic cycle which when represented on the T-S diagram is a circle with maximum and minimum temperatures of 600 K and 300 K.

To Find:

The efficiency of the Ideal gas.

Solution:

We know that the area under TS Curve gives heat.

In the curve it is cyclic, hence it gives net heat.

According to the second law :

In cyclic Net Heat = Net Work

                       ФH = Фω

Here,

 ω = π$r^{2}$

 ω =  π ($150^{2}$)

 ω = 70.685KJ

Q = Heat input =  1/2 π $r^{2}$ + 450 x 300

Q = 35.343 + 135

Q = 170.343 KJ

η = ω / Q

η  = 70.685 / 170.343

η = 41.5%

Therefore the efficiency of the given ideal gas is 41.5%

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