Topic outline

  • General

    • Course Summary: Show more...
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    • Announcements Forum
    • Online Calculator for GATE URL
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    • Overview of GATE Chemical Engineering Page
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  • Basic Concepts

    • CheckList
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    • Heating of Tank Contents Page
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    • Temperature Change of Ideal Gas due to Expansion Page
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    • Work of Free Expansion Page
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    • Work of Sudden Expansion Page
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    • Mass of Piston for a given Pressure of Cylinder Page
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      XE-2022-94-td

      A vertical cylinder-piston device contains a fixed mass of gas in equilibrium. The cross-sectional area of the piston is 0.05 m2. For 150 kPa pressure of the cylinder, the mass of the piston is ________ kg (round off to 2 decimal places).

      Assume that the atmospheric pressure is 100 kPa and the acceleration due to gravity is 9.81 m/s2. 

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    • New Temperature Scale Page
      XE-2020-E-6-td
      A new temperature scale (\(^\circ\)N) has been proposed where the normal freezing and normal boiling points of water are marked as 500\(^\circ\)N and 100\(^\circ\)N, respectively. If the temperature of a system is measured to be 0\(^\circ\)N, its temperature according to the Celcius scale (in \(^\circ\)C) is _________.
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    • Change in Pressure for a Given Change in Temperature Page
      ME-2019-S1-48-td

      If one mole of \(\ce{H2}\) gas occupies a rigid container with a capacity of 1000 litres and the temperature is raised from 27oC to 37oC, the change in pressure of the contained gas (round off to two decimal places), assuming ideal gas behaviour, is ___________ Pa. (\(R = 8.314\) J/mol.K)

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    • Kinetic Energy Change of a Moving System Page
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    • Representing Work in PV Diagram Page
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    • Net Work from PV Diagram Page
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    • Work of Constant Pressure Expansion of Air Page
      ME-2020-S1-52-td

      One kg of air, initially at a temperature of 127oC, expands reversibly at a constant pressure until the volume is doubled. If the gas constant of air is 287 J/(kg.K), the magnitude of work transfer is _______ kJ (round off to 2 decimals).

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    • Work Done in a Process with PV = Constant Page
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    • Work Done in a Process with Linear Relation between P and V Page
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    • Work Done in a Sequence of Processes Page
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    • Work in Melting of Ice Page
      XE-2008-G-3-td

      The densities of water and ice at 0oC are 1000 kg/m3 and 900 kg/m3, respectively. If ice at 0oC is allowed to melt into water at the same temperature, then

      1. work is done by ice on the surrounding atmosphere

      2. work is done by the atmosphere on ice

      3. there is no work interaction

      4. nothing can be said about the work interaction

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    • Processes in Piston-Cylinder System Page
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    • Temperature of System for Movement of Piston Page
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    • Heating of a Gas Confined in a Piston-Cylinder Arrangement Page
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    • Heating of Contents in a Rigid Vessel Page
      2002-2-22-td

      A rigid vessel, containing three moles of nitrogen gas at 30oC , is heated to 250oC . Assume the average heat capacities of nitrogen to be \(C_P = 29.1\) J/mol.oC and \(C_V = 20.8\) J/mol.oC . The heat required, neglecting the heat capacity of the vessel, is

      1. 13728 J

      2. 19206 J

      3. 4576 J

      4. 12712 J

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    • Temperature Change due to Expansion of an Ideal Gas Page
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    • Work done by a Gas against Constant Resisting Pressure Page
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    • Work done by a Gas Expanding in an Evacuated Space Page
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