Question
Download Solution PDFयदि ओटो चक्र में Tmax और Tmin अधिकतम और न्यूनतम तापमान हैं तो आदर्श परिस्थितियों के लिए संपीड़न के बाद का तापमान ________ होना चाहिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFस्पष्टीकरण:
ओटो चक्र:
(1-2) - व्युत्क्रमणीय स्थिरोष्म संपीड़न
(2-3) - ताप संवर्धन का स्थिर आयतन
(3-4) - व्युत्क्रमणीय स्थिरोष्म विस्तार
(4-1) - ताप अस्वीकरण का स्थिर आयतन
गणना:
दिया गया:
आदर्श परिस्थितियों में हमें अधिकतम कार्य आउटपुट (T2 = T4) मिलता है
T1 = TMin और T3 = TMax
गणना:
(1-2) व्युत्क्रमणीय स्थिरोष्म संपीड़न:
\(\left( {\frac{{{T_2}}}{{{T_1}}}} \right) = {\left( {\frac{{{V_1}}}{{{V_2}}}} \right)^{\gamma - 1}}\)
(3-4) व्युत्क्रमणीय स्थिरोष्म विस्तार:
\(\left( {\frac{{{T_3}}}{{{T_4}}}} \right) = {\left( {\frac{{{V_4}}}{{{V_3}}}} \right)^{\gamma - 1}}\)
आदर्श वाक्य चक्र में: V 4 = V 1, V 3 = V 2
\((\frac{{T_2}}{{T_1}})=(\frac{{T_3}}{{T_4}})\)
\(T_2×T_4=T_3×T_1\)
\({\left( {{T_2}} \right)^2} = \left( {{T_3} \times {T_1}} \right)\)
\(\left( {{T_2}} \right) = \left( {\sqrt {{T_3} \times {T_1}} } \right)=\sqrt{T_{max}\times T_{min}}\)
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