## Question

Three moles of an ideal mono-atomic gas perform a cycle as shown in figure. The gas temperatures in different states are The work done by the gas during the cycle will be:

### Solution

20 kJ

Figure shows that on segments, 1–2 and 3–4, pressure is directly proportional to the temperature. It follows from ideal gas equation that gas volume remains unchanged in this case and the gas does no work. So we must find the work done only in isobaric processes 2–3 and 4–1. The work

Total work done by the gas during the cycle is:

The equation of state for three moles of ideal gas:

Putting these values, we get:

#### SIMILAR QUESTIONS

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Equal volumes of water and alcohol when put in similar calorimeters take 100 sec and 74 sec respectively to cool from 50^{o}C to 40^{o}C. The thermal capacity of each calorimeter is numerically equal to the volume of either liquid. The specific gravity of alcohol is 0.8. If the specific heat capacity of water is 1 cal/g, the specific heat capacity of alcohol will be: