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Difference between Internal Energy and Enthalpy

An ideal gas ...

Question

An ideal gas is taken through a cyclic thermodynamic process through four steps. The amounts of heat involved in these steps are $Q_{1} = 5960 J$ , $Q_{2} = - 5585 J$ , $Q_{3} = - 2980 J$ and $Q_{4} = 3645 J$ respectively. The corresponding works involved are $W_{1} = 2200 J$ , $W_{2} = - 825 J$ , $W_{3} = - 1100 J$ and $W_{4}$ respectively.
What is the efficiency of the cycle?

A

11.42 %

.

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B

10.82 %

.

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C

9.32 %

.

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D

5.82 %

.

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Solution

The correct option is B $10.82 %$ .
Efficient of a cycle $= \frac{w o r k d o n e}{h e a t s u p p l i e d}$
$η = (1 - \frac{h e a t r e p l a c e d}{h e a t s u p p l i e d}) 100$
heat replaced $= | Q_{2} | + | Q_{3} |$
heat supplied $= | Q_{1} | + | Q_{4} |$
$η = (1 - \frac{Q_{2} + Q_{3}}{Q_{1} + Q_{4}}) 100$
$η = (1 - \frac{8565}{9605}) 100$
$η = 10.82 %$

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Similar questions

Q. An ideal gas is taken through a cyclic thermodynamic process through four steps. The amounts of heat involved in these steps are

Q_{1} = 5960 J

Q_{2} = - 5585 J

Q_{3} = - 2980 J

Q_{4} = 3645 J

respectively. The corresponding quantities of work involved are

W_{1} = 2200 J

W_{2} = - 825 J, W_{3} = - 1100 J

W_{4}

respectively . Find the efficiency of the cycle.

Q. An ideal gas is taken through a cyclic thermodynamic process involving four steps. The amounts of heat involved in these steps are

Q_{1} = 5960 J, Q_{2} = - 5585 J, Q_{3} = - 2980 J

Q_{4} = 3645 J

, respectively. The corresponding amounts of work done are

W_{1} = 2200 J, W_{2} = - 825 J

W_{3} = - 1100 J

W_{4} = r e s p e c t i v e l y

.
What is the efficiency of the cycle?

Q. An ideal gas is taken through a cyclic thermodynamic process through four steps. The amounts of heat involved in these steps are

Q_{1} = 5960 J, Q = - 5585 J, Q_{3} = - 2980 J

Q_{4} = 3645 J

respectively. The corresponding quantities of work done by gas for each steps are

W_{1} = 2200 J, W_{2} = - 825 J, W_{3} = - 1100 J

W_{4} = 765 J

respectively. The efficiency of the cycle is

Q. An ideal gas is taken through a cyclic thermodynamic process involving four steps. The amounts of heat involved in these steps are

Q_{1} = 5960 J, Q_{2} = - 5585 J, Q_{3} = - 2980 J

Q_{4} = 3645 J

, respectively. The corresponding amounts of work done are

W_{1} = 2200 J, W_{2} = - 825 J

W_{3} = - 1100 J

W_{4} = r e s p e c t i v e l y

.
Find the value of

W_{4}

Q. An ideal gas is taken through a cyclic thermo dynamical process through four steps. The amounts of heat involved in steps are

Q_{1} = 5960 J, Q_{2} = - 5585 J, Q_{3} = - 2980 J, Q_{4} = 3645 J

; respectively, the corresponding works involved are

W_{1} = 2200, W_{2} = - 825 J, W_{3} = - 1100 J

W_{4}

respectively. Find the value of

W_{4}

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