SATHEE: Heat and Thermodynamics 5 Question 4

Heat and Thermodynamics 5 Question 4

4. $n$ moles of an ideal gas with constant volume heat capacity $C_{V}$ undergo an isobaric expansion by certain volume. The ratio of the work done in the process, to the heat supplied is

(a) $\frac{4 n R}{C_{V} + n R}$

(b) $\frac{4 n R}{C_{V} - n R}$

(d) $\frac{n R}{C_{V} + n R}$

(2019 Main, 10 April I)

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Solution:

For isobaric process, work done is given as $W = n R Δ T$

Heat supplied, $Δ Q = n C_{p} Δ T$ and

$\begin{aligned} C_{p} - \frac{C_{V}}{n} & = R \\ \Rightarrow & \frac{W}{Δ Q} & = \frac{n R Δ T}{n C_{p} Δ T} = \frac{R}{C_{p}} = \frac{R}{R + \frac{C_{V}}{n}} \\ ∴ & \frac{W}{Δ Q} & = \frac{n R}{n R + C_{V}} \end{aligned}$

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Heat and Thermodynamics 5 Question 4

4. $n$ moles of an ideal gas with constant volume heat capacity $C_{V}$ undergo an isobaric expansion by certain volume. The ratio of the work done in the process, to the heat supplied is

Solution:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

Heat and Thermodynamics 5 Question 4

4. n moles of an ideal gas with constant volume heat capacity CV undergo an isobaric expansion by certain volume. The ratio of the work done in the process, to the heat supplied is

Solution:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

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4. $n$ moles of an ideal gas with constant volume heat capacity $C_{V}$ undergo an isobaric expansion by certain volume. The ratio of the work done in the process, to the heat supplied is