Question

Download Solution PDF

A heat engine working on carnot cycle receives heat at the rate of 40 kW from a source at 1200 K rejects to a sink at 300 K. The heat rejected is _______. 

This question was previously asked in
JKSSB JE Mechanical 02 Nov 2021 Shift 1 Official Paper
Download PDF Attempt in App
View all JKSSB JE Papers >
  1. 5 kW 
  2. 10 kW
  3. 20 kW
  4. 30 kW

Answer (Detailed Solution Below)

Option 2 : 10 kW
Free Tests
View all Free tests >
Free
ST 1: JKSSB JE - Surveying
20 Qs. 20 Marks 20 Mins
Start Now

Detailed Solution

Download Solution PDF

Concept:

Clausius inequality for a reversible engine

For irreversible engine

The carnot cycle is a reversible cycle

Calculation:

Given:

Q1 = 40 kW, T1 = 1200 K, T2 =  300 K

For reversible cycle

Download Solution PDF
Latest JKSSB JE Updates

Last updated on Jun 23, 2025

-> JKSSB JE application form correction facility has been started. Candidates can make corrections in the JKSSB recruitment 2025 form from June 23 to 27. 

-> JKSSB Junior Engineer recruitment exam date 2025 for Civil and Electrical Engineering has been released on its official website. 

-> JKSSB JE exam will be conducted on 10th August (Civil), and on 27th July 2025 (Electrical).

-> JKSSB JE recruitment 2025 notification has been released for Civil Engineering. 

-> A total of 508 vacancies has been announced for JKSSB JE Civil Engineering recruitment 2025. 

-> JKSSB JE Online Application form will be activated from 18th May 2025 to 16th June 2025 

-> Candidates who are preparing for the exam can access the JKSSB JE syllabus PDF from official website of JKSSB.

-> The candidates can check the JKSSB JE Previous Year Papers to understand the difficulty level of the exam.

-> Candidates also attempt the JKSSB JE Mock Test which gives you an experience of the actual exam.

‹‹ Previous Ques
Next Ques ››
Exams Tests Super Practice

More Carnot engine Questions

Q1.A perfect engine works on the carnot cycle between 727° C and 127° C. The efficiency of the engine is _______.  
Q2.A heat engine working on carnot cycle receives heat at the rate of 40 kW from a source at 1200 K rejects to a sink at 300 K. The heat rejected is _______. 
Q3.Consider a heat engine as shown in Fig. Q1 and Q2 are heat added to heat bath T1 and heat taken from T2 in one cycle of engine. W is the mechanical work done on the engine. If W > 0, then possibilities are:
Q4.Consider a cycle followed by an engine (Fig. 12.6) 1 to 2 is isothermal 2 to 3 is adiabatic 3 to 1 is adiabatic Such a process does not exist because
Q5.The efficiency of a Carnot's engine, working between steam point and ice point, will be :
Q6.Efficiency of a Carnot engine that operates between the temperature of 450 K and 300 K is :
Q7.A Carnot engine having an efficiency of 1/10 as heat engine, is used as a refrigerator. If the work done on the system is 10 J, the amount of energy absorbed from the reservoir at lower temperature is
Q8.Carnot cycle is different from Rankine Cycle in steam power plant during the following process:
Q9.Consider two Carnot engines c1 and c2, such that heat discarded by c1 is used as the input for the c2 cycle, with the average temperature being the geometric mean of the extreme temperatures. Which option gives the appropriate relationship for their efficiency?
Q10.A  Carnot cycle operates between two temperatures T1 and T2 (T1 > T2). If T1 is increased by ΔT and T2 is decreased by ΔT. The efficiency η2 in the second case and the efficiency η1 in the first case are relatede by: 

More Thermodynamics Questions

Q1.Consider the process of one mole of monatomic ideal gas shown in the T-V diagram. The correct match is based on the following equations and principles: Column - 1 Column - 2 (I) Work done in the isothermal process (1 → 2) (i) (RT0 / 3) ln 2 (II) Change in internal energy (1 → 2 → 3) (ii)RT0 (III) Total heat absorbed (1 → 2 → 3) (iii)  (RT0 / 3) [3 + ln 2] (IV) Heat absorbed in the isothermal process (1 → 2) (iv)  (RT0 / 5) ln 2 (V) Work done in the process (1 → 2→ 3) (v) RT0 /2  
Q2.The figure shows the variation of specific heat capacity (C) of a solid as a function of temperature (T). The temperature is increased continuously from \(0 \ to \ 500 K\) at a constant rate. Ignoring any volume change, the following statement(s) is (are) correct to a reasonable approximation. Match the following statements related to the variation of specific heat capacity (C) with temperature (T): Statements Explanation (A) The rate at which heat is absorbed in the range ___ varies linearly with temperature T. (P) 0 - 100K (B) Heat absorbed in increasing the temperature from the range ___ is less than the heat required for increasing the temperature from 400 - 500K. (Q) 400 - 500K (C) There is no change in the rate of heat absorption in the range  (R) 300-400 K. (D) The rate of heat absorption increases in the range  (S) 200 - 300K.  
Q3.Match List - I with List - II List – I   List – II  (a) Isothermal (i) Pressure constant  (b) Isochoric  (ii) Temperature constant  (c) Adiabatic  (iii) Volume constant  (d) Isobaric  (iv) Heat content is constant    Choose the correct answer from the options given below:
Q4.n moles of a perfect gas undergoes a cyclic process ABCA (see figure) consisting of the following processes: A → B: Isothermal expansion at temperature T so that the volume is doubled from V1 to V2 and pressure changes from P1 to P2. B → C: Isobaric compression at pressure P2 to initial volume V1. C → A: Isochoric change leading to change of pressure from P2 to P1. Total work done in the complete cycle ABCA is –
Q5.If one mole of an ideal gas at (P1, V1) is allowed to expand reversibly and isothermally (A to B) its pressure is reduced to one-half of the original pressure (see figure). This is followed by a constant volume cooling till its pressure is reduced to one-fourth of the initial value (B → C). Then it is restored to its initial state by a reversible adiabatic compression (C to A). The net work done by the gas is equal to:
Q6.A certain amount of gas of volume V at 27°C temperature and pressure 2 × 107 Nm–2 expands isothermally until its volume gets doubled. Later it expands adiabatically until its volume gets redoubled. The final pressure of the gas will be (Use, γ = 1.5)
Q7.When 1 litre of water is cooled from 4°C to 0°C, its volume
Q8.The zeroth law of thermodynamics is based on the concept of _________. 
Q9.In which form is the supplied heat energy stored during change in temperature of a substance?
Suggested Test Series
View All >
AE & JE Civil Engg. Exams Previous Year Papers Mock Test
469 Total Tests with 8 Free Tests
Start Free Test
JKSSB JE Mock Test 2025
170 Total Tests with   2 Free Tests
Start Free Test

More Physics Questions

Q1. A bar magnet has total length 2l = 20 units and the field point P is at a distance d = 10 units from the centre of the magnet. If the relative uncertainty of length measurement is 1%, then uncertainty of the magnetic field at point P is : 
Q2.A bi-convex lens is constructed using two thin plano-convex lenses, as shown in the figure. The refractive index of the first lens is 1.5, and that of the second lens is 1.2. Both curved surfaces have the same radius of curvature, R = 14 cm. For this bi-convex lens, when the object distance is 40 cm, determine the image distance:
Q3.In a closed system of two interacting particles, m1 and m2, the center of mass is stationary. Given the trajectory of m1 and that m2 = m1, determine the trajectory of m2.
Q4.Match the following entries in column-I and column-II with respect to an oscillating spring-block system: Column-I Column-II (a) Mass of the block is doubled (i) Energy of oscillation becomes 4 times (b) Spring constant is made 4 times (ii) Speed of block becomes 2 times (c) Amplitude of oscillations is doubled (iii) P.E. becomes 4 times (d) Angular frequency is doubled (iv) Time period becomes √2 times (e) length of spring is quadrupled (v) Time period becomes 2 times
Q5.Consider the process of one mole of monatomic ideal gas shown in the T-V diagram. The correct match is based on the following equations and principles: Column - 1 Column - 2 (I) Work done in the isothermal process (1 → 2) (i) (RT0 / 3) ln 2 (II) Change in internal energy (1 → 2 → 3) (ii)RT0 (III) Total heat absorbed (1 → 2 → 3) (iii)  (RT0 / 3) [3 + ln 2] (IV) Heat absorbed in the isothermal process (1 → 2) (iv)  (RT0 / 5) ln 2 (V) Work done in the process (1 → 2→ 3) (v) RT0 /2  
Q6.For the LCR AC circuit (resonance frequency ωo) shown in the figure below, choose the correct statement(s). List 1 List 2 (i) ω0 a) depends on L,C (ii) At ω =ω0 , VR is   b) independent of L, C (iii) VR and I are  c) In phase (iv)  At ω =ω0 /2, VR is   d) Out of phase  
Q7.Match the Following: Match the entries from Column-1 with their corresponding descriptions in Column-2 and numerical values in Column-3. Column - 1 Column - 2 Column - 3 (I) Planck’s radiation law (i) Peak wavelength shifts inversely with temperature (P) 0.5 (II) Stefan-Boltzmann law (ii) Energy radiated is proportional to the fourth power of temperature (Q) 0.25 (III) Kirchhoff’s Law of Radiation (iii) Absorptivity equals emissivity in thermal equilibrium (R) 0.3 (IV) Newton’s Cooling Law (iv) Rate of cooling is proportional to the temperature difference (S) 0.4   A surface reflects 70% of the incident energy. Determine the most appropriate match for its emissivity.  
Q8.A ball of 8 kg, moving at 15 m/s, enters a 22 kg spring gun at rest. If the surfaces are frictionless and the spring is massless, determine the gun's speed after the ball stops moving relative to the gun.
Q9.A square frame is constructed from four uniform rods. The rods, AB, BC, CD, and DA, have masses 2m, 3m, 4m, and 5m respectively, and each has a length of 2a.  Where is the center of mass of this frame located in the x-y plane, specifically, which quadrant or region defined by x and y coordinates.
Q10.Imagine you have a cup of Starbucks coffee in a moving car. If the car suddenly brakes
Testbook Edu Solutions Pvt. Ltd.
1st & 2nd Floor, Zion Building,
Plot No. 273, Sector 10, Kharghar,
Navi Mumbai - 410210
support@testbook.com
Toll Free:1800 833 0800
Office Hours: 10 AM to 7 PM (all 7 days)
Company
About usCareers We are hiringTeach Online on TestbookPartnersMediaSitemap
Products
Test SeriesTestbook PassOnline CoursesOnline VideosPracticeBlogRefer & EarnBooks
Copyright © 2014-2022 Testbook Edu Solutions Pvt. Ltd.: All rights reserved
User PolicyTermsPrivacy
Hot Links： teen patti real cash withdrawal teen patti master list teen patti gold apk teen patti master 2024