1241 Views

Two Carnot engines are connectedin series with extreme temp as 2000k & 200k resp. What is the efficiency of first Carnot engine?


Digambar Pawar 1st Aug, 2019
Answer (1)
nehaojha000_7965830 Student Expert 2nd Aug, 2019

Hi Digambar,

Given:

T1 = 2000 K

T2 is unknown.

T3 = 200 K

As carnot engines are connected in series work done will be equal in both: 

W1 = Q2 - Q3

W2 = Q1 - Q2

Since, W1 = W2

Q1 - Q2 = Q2 - Q3

Q2 = (Q1 + Q3) / 2

In carnot cycle, Q ∝ T, hence

T2 = (T1 + T3) / 2

T2 = (2000+200) / 2

T2 = 1100K.


Efficiency of 1st engine -

nA = (Q1 - Q2) / Q1

nA = (T1 - T2) / T1

nA = (2000-1100) / 2000

nA = 0.45

Hope it helps.

Related Questions

Amity University Noida B.Tech...
Apply
Among Top 30 National Universities for Engineering (NIRF 2024) | 30+ Specializations | AI Powered Learning & State-of-the-Art Facilities
Amrita University B.Tech 2026
Apply
Recognized as Institute of Eminence by Govt. of India | NAAC ‘A++’ Grade | Upto 75% Scholarships
Amity University, Noida | Law...
Apply
700+ Campus placements at top national and global law firms, corporates and judiciaries
Great Lakes Institute of Mana...
Apply
Admissions Open | Globally Recognized by AACSB (US) & AMBA (UK) | 17.8 LPA Avg. CTC for PGPM 2025
Manav Rachna University Law A...
Apply
Admissions open for B.A. LL.B. (Hons.), B.B.A. LL.B. (Hons.) and LL.B Program (3 Years) | School of Law, MRU ranked No. 1 in Law Schools of Excelle...
Nirma University Law Admissio...
Apply
Grade 'A+' accredited by NAAC | Ranked 33rd by NIRF 2025
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books