A reversible engine has an efficiency of 1 4 . If the temperature of the sink is reduced by 58 ° C ,…

A reversible engine has an efficiency of 14. If the temperature of the sink is reduced by 58°C, its efficiency becomes double. Calculate the temperature of the sink:
  1. 180.4°C
  2. 382°C
  3. 174 K
  4. 280°C

Solution

η=1-TLTH
14=1-TLTH
TLTH=34
2η=12=1-TL-58TH
TL-58TH=12
TLTL-58=3/41/2
2 TL=3 TL-174
TL=174 K

This question is bonus as the value given by NTA in option was in degree celsius.

Asked in: JEE Main 2021 (31 Aug Shift 1)

Practice more Thermodynamics questions on Aicharya