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1st Law of Thermodynamics

An ideal gas ...

Question

An ideal gas after going through a series of four thermodynamic states in order reaches the initial state again (cyclic process) the amounts of heat (Q) and work (W) involved in the states are $Q_{1} = 6000 J$ , $Q_{2} = - 5500 J$ , $Q_{3} = - 3000 J$ , $Q_{4} = + 3500 J$ ; $W_{1} = 2500 J$ , $W_{2} = - 1000 J$ , $W_{3} = - 1200 J$ , $W_{4} = X J$ . then X?.

A

500

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B

700

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C

1000

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D

1500

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Solution

The correct option is A 700
Since the process reaches the initial state, implies the temperature doesn't change.
So, change internal energy is zero.
$∴$ Heat energy added $=$ work done
$6000 - 5500 - 3000 + 3500 = 2500 - 1000 - 1200 + W_{4}$
$W_{4} = 700 J$
Option B.

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Q. An ideal gas is subjected to cyclic process involving four thermodynamic states, the amounts of heat (Q) and work (W) involved in each of these states are

Q_{1} = 6000 J,

Q_{2} = - 5500 J;

Q_{3} = - 3000 J;

Q_{4} = 3500 J

W_{1} = 2500 J;

W_{2} = - 1000 J;

W_{3} = - 1200 J;

W_{4} = x J .

The ratio of the net work done by the gas to the total heat absorbed by the gas is . The values of

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Q. An ideal gas is subjected to a cyclic process involving four thermodynamic states; the amounts of heat (Q) and work (W) involved in each of these states are

Q_{1} = 6000 J, Q_{2} = 5500 J, Q_{3} = - 3000 J, Q_{4} = 3500 J W_{1} = 2500 J, W_{2} = - 1000 J, W_{3} = - 1200 J, W_{4} = x J

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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

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

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Q. An ideal gas is made to go through a cyclic thermodynamic process in four steps. The amount of heat involved are

Q_{1} = 600 {J, Q}_{2} = - 400 {J, Q}_{3} = - 300 {J and Q}_{4} = 200 J

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W_{1} = 300 {J, W}_{2} = - 200 {J, W}_{3} = - 150 {J and W}_{4}

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Q. An ideal gas is taken through a cyclic thermodynamic process through four steps

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

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respectively. The corresponding quantities of work involved are

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W_{4}

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