Easy MCQ +4 / -1 PYQ · JEE Mains 2022

A vessel contains 16g of hydrogen and 128g of oxygen at standard temperature and pressure. The volume of the vessel in cm3 is :

  1. A 72 $\times$ 10<sup>5</sup>
  2. B 32 $\times$ 10<sup>5</sup>
  3. C 27 $\times$ 10<sup>4</sup> Correct answer
  4. D 54 $\times$ 10<sup>4</sup>

Solution

<p>Total number of moles are</p> <p>$n = {n_{{H_2}}} + {n_{{O_2}}}$</p> <p>$= {{16} \over 2} + {{128} \over {32}}$</p> <p>= 12 moles</p> <p>Using $PV = nRT$</p> <p>$V = {{nRT} \over P}$</p> <p>$= {{12 \times 8.31 \times 273.15} \over {{{10}^5}}}$ m<sup>3</sup></p> <p>= 0.27 m<sup>3</sup> = 27 $\times$ 10<sup>4</sup> cm<sup>3</sup></p>

About this question

Subject: Physics · Chapter: Thermodynamics · Topic: Zeroth and First Law

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