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JEE Advanced levelNumerical answerDifficulty 3 of 3rg074

One mole of hydrogen (, ) is compressed to at . The difference in atm (nearest integer), with , is

Numerical answer type, answer in atm, tolerance 2.

Answer: 154 atm

Ideal: . van der Waals: . Difference , i.e. . For hydrogen at high density the excluded volume effect dominates, so the real pressure is higher.
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