Q1 / 56 · KVPY 2018 (SA) · Chemistry

A container of volume 2.24 Lcan with stand a maximum pressure of 2 atm at 298 K before exploding. The maximum amount of nitrogen (in g) that can be safely put in this container at this temperature is closest to

  • A
    2.8
  • B
    5.6
  • C
    1.4
  • Correct answer
    D
     4.2

Solution

From ideal gas equation p V=n R T

maximum number of moles in container,

n=pVRT=2×2.240.0821×298

=0.18 moles Maximum weight of N2 in container
=0183×28=5.127 g

At 5.127 g exploding can occur. Thus, it must be less than 5.127  . Thus, the maximum amount of nitrogen that can be safely put in this container at 298 temperature and exert pressure less than 2 atm will be closest to undefined.

Hence, the correct answer is option: 'D'.

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