Home
Class 11
PHYSICS
The temperatures T(1) and T(2) of two he...

The temperatures `T_(1) and T(2)` of two heat reservoirs in an ideal carnot engine are `1500^(@)C and 500^(@)C`. Which of these (a) increasing `T_(1) by 100^(@)C` or (b) decreasing `T_(2) by 100^(@)C` would result in greater improvement of the efficiency of the engine?

Text Solution

Verified by Experts

`eta=1-T_2/T_1 `
(i) `T_1` is increased from `1500^@C" to " 1600^@C`
`T_1 =1873k`
`T_2` Remain constant `T_2 = 773k`
`eta_1=(1873-773)/(1873)=58.73%`
(ii) `T_1` remain constant `=1500^@C`
`T_1 = 1500+273=1773k`
`T_2` is decreased by 100 i.e., `400^@C`
`T_2=400+273=673k`
`eta_2=(1773-673)/1773=(1100)/1773=62.04%`
`eta_2 gt eta_1`
Promotional Banner

Topper's Solved these Questions

  • THERMODYNAMICS

    CBSE COMPLEMENTARY MATERIAL|Exercise MULTIPLE CHOICE QUESTIONS (MCQs)|20 Videos

  • THERMODYNAMICS

    CBSE COMPLEMENTARY MATERIAL|Exercise LONG ANSWER TYPE QUESTIONS (5 MARKS)|1 Videos

  • ROTATIONAL MOTION

    CBSE COMPLEMENTARY MATERIAL|Exercise MULTIPLE CHOICE QUESTIONS|20 Videos

  • WORK, ENERGY AND POWER

    CBSE COMPLEMENTARY MATERIAL|Exercise MCQ|20 Videos

Similar Questions

Explore conceptually related problems

The temperature T_(1) and T_(2) of heat reservoirs in the ideal carnot engine are 15000^(@)C and 500^(@)C respectivley. If T_(1) increases by 100^(@)C , what will be the efficiency of the engine?

An ideal Carnot's engine works between 227^(@)C and 57^(@)C . The efficiency of the engine will be

A Carnot engine works between temperature 0^(@)C and 100^(@)C . Calculate its efficiency.

In a Carnot engine when T_(2) = 0^(@)C and T_(1) = 200^(@)C its efficiency is eta_(1) and when T_(1) = 0^(@)C and T_(2) = -200^(@)C . Its efficiency is eta_(2) , then what is eta_(1)//eta_(2) ?

The efficiency of a Carnot engine operating between temperatures of 100^(@)C and -23^(@)C will be

What percentage T_(1) is of T_(2) for a 10% efficiency of a heat engine?

Two ideal Carnot engines operate in cascade (all heat given up by one engine is used by the other engine to produce work) between temperatures, T_(1) and T_(2) . The temperature of the hot reservoir of the first engine is T_(1) and the temperature of the cold reservoir of the second engine is T_(2) . T is temperature of the sink of first engine which is also the source for the second engine. How is T related to T_(1) and T_(2) , if both the engines perform equal amount of work?