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Page No 317: - Chapter 12 Thermodynamics class 11 ncert solutions Physics - SaraNextGen [2024-2025]


Updated By SaraNextGen
On April 24, 2024, 11:35 AM

Question 12.7:

A steam engine delivers 5.4×10J of work per minute and services 3.6 × 10J of heat per minute from its boiler. What is the efficiency of the engine? How much heat is wasted per minute?

Answer:

Work done by the steam engine per minute, W = 5.4 × 108 J

Heat supplied from the boiler, H = 3.6 × 109 J

Efficiency of the engine =https://img-nm.mnimgs.com/img/study_content/curr/1/11/12/190/4673/NS_14-10-08_Sravana_11_Physics_12_10_NRJ_LVN_html_3efd5ee6.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/11/12/190/4673/NS_14-10-08_Sravana_11_Physics_12_10_NRJ_LVN_html_616248e4.gif

Hence, the percentage efficiency of the engine is 15 %.

Amount of heat wasted = 3.6 × 109 – 5.4 × 108

= 30.6 × 108 = 3.06 × 109 J

Therefore, the amount of heat wasted per minute is 3.06 × 109 J.

Question 12.8:

An electric heater supplies heat to a system at a rate of 100W. If system performs work at a rate of 75 Joules per second. At what rate is the internal energy increasing?

Answer:

Heat is supplied to the system at a rate of 100 W.

∴Heat supplied, Q = 100 J/s

The system performs at a rate of 75 J/s.

∴Work done, W = 75 J/s

From the first law of thermodynamics, we have:

Q = U + W

Where,

U = Internal energy

U = Q – W

= 100 – 75

= 25 J/s

= 25 W

Therefore, the internal energy of the given electric heater increases at a rate of 25 W.

Question 12.9:

A thermodynamic system is taken from an original state to an intermediate state by the linear process shown in Fig. (12.13)

https://img-nm.mnimgs.com/img/study_content/curr/1/11/12/190/4675/NS_14-10-08_Sravana_11_Physics_12_10_NRJ_LVN_html_m3ddcd8cc.jpg

Its volume is then reduced to the original value from E to F by an isobaric process. Calculate the total work done by the gas from D to E to F

Answer:

Total work done by the gas from D to E to F = Area of ΔDEF

Area of ΔDEF =https://img-nm.mnimgs.com/img/study_content/curr/1/11/12/190/4675/NS_14-10-08_Sravana_11_Physics_12_10_NRJ_LVN_html_3e59e1d5.gif

Where,

DF = Change in pressure

= 600 N/m2 – 300 N/m2

= 300 N/m2

FE = Change in volume

= 5.0 m3 – 2.0 m3

= 3.0 m3

Area of ΔDEF =https://img-nm.mnimgs.com/img/study_content/curr/1/11/12/190/4675/NS_14-10-08_Sravana_11_Physics_12_10_NRJ_LVN_html_m68b29a36.gif  = 450 J

Therefore, the total work done by the gas from D to E to F is 450 J.

Question 12.10:

A refrigerator is to maintain eatables kept inside at 9°C. If room temperature is 36° C, calculate the coefficient of performance.

Answer:

Temperature inside the refrigerator, T1 = 9°C = 282 K

Room temperature, T2 = 36°C = 309 K

Coefficient of performance =https://img-nm.mnimgs.com/img/study_content/curr/1/11/12/190/4676/NS_14-10-08_Sravana_11_Physics_12_10_NRJ_LVN_html_m246b1131.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/11/12/190/4676/NS_14-10-08_Sravana_11_Physics_12_10_NRJ_LVN_html_m1c87e837.gif

Therefore, the coefficient of performance of the given refrigerator is 10.44.

Also Read : INTRODUCTION-Chapter-13-Kinetic-Theory-class-11-ncert-solutions-Physics

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