Question
Download Solution PDFएक ब्रेटन चक्र की दाब अनुपात और अधिकतम तापमान क्रमशः 5:1 और 928 K है। वायु संपीडक में 1 बार और 300 K पर प्रवेश करती है। प्रति किग्रा वायु प्रवाह के चक्र का नेटवर्क आउटपुट क्या होगा?
[\(C_p = 1.0 \, \text{kJ/kg-K}, \gamma = 1.41, 5^{\frac{(0.41)}{(1.41 ) }} = 1.6\) ]
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
ब्रेटन चक्र एक आदर्श गैस टरबाइन चक्र है जिसमें समदैशिक संपीड़न, स्थिर-दाब ऊष्मा संवर्धन, समदैशिक प्रसार और स्थिर-दाब ऊष्मा अस्वीकृति शामिल है। नेट कार्य उत्पाद टरबाइन और कंप्रेसर कार्य के बीच का अंतर है।
दिया गया है:
दाब अनुपात, \( r_p = 5 \)
इनलेट तापमान, \( T_1 = 300~K \)
अधिकतम तापमान, \( T_3 = 928~K \)
\( C_p = 1.0~\text{kJ/kg·K},~\gamma = 1.41 \)
गणना:
\( T_2 = T_1 \times r_p^{\frac{\gamma - 1}{\gamma}} = 300 \times 5^{\frac{0.41}{1.41}} \approx 300 \times 1.6 = 480~K \)
\( T_4 = T_3 \times r_p^{-\frac{\gamma - 1}{\gamma}} = 928 \div 1.6 = 580~K \)
प्रति किग्रा वायु नेट कार्य निर्गम:
\( W_{net} = C_p \left[ (T_3 - T_4) - (T_2 - T_1) \right] \)
\( W_{net} = 1.0 \times \left[ (928 - 580) - (480 - 300) \right] = 348 - 180 = 168~\text{kJ/kg} \)
Last updated on Jul 15, 2025
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