A Carnot engine has the same efficiency between (i) 100 K and 600 K and (ii) T K and 960 K. The temperature T in kelvin of the sink is (a) 120 (b) 160 (c) 240 (d) 320

Answer: (b). Same efficiency means same ratio (T₂)/(T₁). (100)/(600) = T/960 ⇒ T = 960/6 = 160 K So the answer is (b) 160.

A Carnot engine has the same efficiency between (i) 100 K and 600 K… | MHT CET 2023 (13 May, Shift 1)

Q23MHT CET 2023 · 13 MAY · SHIFT 1Medium

Heat Engines, Refrigerators & Second Law

A Carnot engine has the same efficiency between (i) $100\text{ K}$ and $600\text{ K}$ and (ii) $\mathrm{T}\text{ K}$ and $960\text{ K}$ . The temperature $\mathrm{T}$ in kelvin of the sink is

Show answer and solution

Answer: (b)

Same efficiency means same ratio $\frac{T_2}{T_1}$ .
$\frac{100}{600} = \frac{T}{960} \Rightarrow T = \frac{960}{6} = 160\text{ K}$
So the answer is (b) 160.

Report a mistake

More questions on Heat Engines, Refrigerators & Second Law

A Carnot engine with efficiency 50% takes heat from a source at 600 K. To increase the…MHT CET 2023 (10 May, Shift 1)
An engine operating between the boiling and freezing points of water will have A…JEE Main 2023 (12 Apr, Shift 1)
A Carnot engine operating between two reservoirs has efficiency 1/3. When the temperature…JEE Main 2023 (1 Feb, Shift 2)
Given below are two statements: one is labelled as Assertion A and the other is labelled…JEE Main 2023 (30 Jan, Shift 2)
An ideal refrigerator has freezer at a temperature of -13. The coefficient of performance…MHT CET 2023 (14 May, Shift 2)
The efficiency of a heat engine is ' η ' and the coefficient of performance of a…MHT CET 2023 (14 May, Shift 1)
A Carnot engine is operating between the two reservoirs of temperature 227 and 127…JEE Main 2022 (30 Jul, Shift 2)
The efficiency of a Carnot's engine, working between steam point and ice point, will be:JEE Main 2022 (26 Jun, Shift 1)

Heat Engines, Refrigerators & Second Law question from MHT CET 2023 (13 May, Shift 1)

More questions on Heat Engines, Refrigerators & Second Law