एक अप्रवाही उत्क्रमणीय प्रक्रिया के अनुसार होती है, जहाँ P बार में है। यदि दाब 1 बार से 10 बार बदलता है, तो किया गया कार्य क्या होगा? [दिया गया है, ]

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  1. 3.453 MN-m, प्रसार
  2. 3.453 N-m, संपीडन
  3. 3.453 MN-m, संपीडन
  4. 3.453 N-m, प्रसार

Answer (Detailed Solution Below)

Option 3 : 3.453 MN-m, संपीडन
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Detailed Solution

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संकल्पना:

प्रक्रिया समतापीय है: \( PV = \text{constant} = 15 \)

समतापीय प्रक्रिया में किया गया कार्य:

\( W = \int_{P_1}^{P_2} \frac{15}{P} dP = 15 \cdot \ln\left(\frac{P_2}{P_1}\right) \)

गणना:

\( W = 15 \cdot \ln\left(\frac{10}{1}\right) = 15 \cdot 2.3025 = 34.5375 \, \text{bar·m}^3 \)

\( = 34.5375 \times 10^5 = 3.45375 \times 10^6 \, \text{N·m} = 3.453 \, \text{MN·m} \)

चूँकि दाब बढ़ता है (आयतन घटता है), यह संपीडन है।

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