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A cylinder with a movable piston contains 3 moles of hydrogen at standard temperature and pressure . The walls of the cylinder are made of heat insulator, and the piston is insulated by having a pile of sand on it. The factor of increase of the pressure when the gas is compressed to half its original volume is [given 2^1.4 =2.64]

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5.24

3.96

2.64

1.32

answer is A.

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Detailed Solution

n = 3 moles γ = 1.4, V₁ = V

${V_2} = \frac{V}{2},P\alpha \frac{1}{{{V^\gamma }}}$

$\frac{{{P_2}}}{{{P_1}}} = {\left( {\frac{{2V}}{V}} \right)^\gamma } = {(2)^{1.4}} = 2.64$

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