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JEE Advanced Mix Test 67

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JEE Advanced Mix Test 67
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  • Question 1
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    For a thermodynamic system, the pressure, volume and temperature are related as  where is a positive constant. The work done for this system in a constant pressure process, if the temperature changes from To to 2To, is

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  • Question 2
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    One mole of a perfect gas expands isothermally to ten times its original volume.The change in entropy is :

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  • Question 3
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    Fe2+ and Fe3+ can be distinguished by :

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  • Question 4
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    Which of the following is the correct order of stability of the given compounds?

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  • Question 5
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    When chlorine water is added to an aqueous solution of sodium halide in the presence of chloroform, a violet colouration is obtained. When more of chlorine water is added, the violet colour disappears and solution becomes colourless. This confirms that sodium halide is :

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  • Question 6
    4 / -1

    During the dehydration of alcohols, the hydrogen is removed from the carbon atom having a lesser number of hydrogen atoms to yield the most stable alkene as a major product. Identify the most stable alkene formed during the following conversion:

    Solution

    The reaction proceeds through the formation of a carbocation intermediate, which re-arranges by a hydride shift followed by ring expansion in order to reduce the Bayer strain.

    Thus, the major product formed is 1,2-dimethyl cyclohexene.

     

  • Question 7
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    A tertiary alcohol H upon acid catalysed dehydration gives a product I. Ozonolysis of I leads to compounds J and K. Compound J upon reaction with KOH gives benzyl alcohol and a compound L, whereas K on reaction with KOH gives only M.

    Compound H is formed by the reaction of

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  • Question 8
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    If f(x) = x tan-1x, find f'(1) from first principle.

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  • Question 9
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  • Question 10
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    Solution

     

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