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 Law A...
Apply
700+ Campus placements at top national and global law firms, corporates and judiciaries
Amity University, Noida BBA A...
Apply
Ranked amongst top 3% universities globally (QS Rankings)
VIT Bhopal University | M.Tec...
Apply
M.Tech admissions open @ VIT Bhopal University | Highest CTC 52 LPA | Apply now
Amity University | M.Tech Adm...
Apply
Ranked amongst top 3% universities globally (QS Rankings).
Graphic Era (Deemed to be Uni...
Apply
NAAC A+ Grade | Among top 100 universities of India (NIRF 2024) | 40 crore+ scholarships distributed
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
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