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QJEEM21Phc040: JEE Main 2021 Physics - Class 11 JEEM21Phc040 Solution: A mixture of hydrogen and oxygen has volume 500 cm 3 ,…

A mixture of hydrogen and oxygen has volume 500 cm3, temperature 300 K, pressure 400 kPa and mass 0.76 g. The ratio of masses of oxygen to hydrogen will be :-

Multiple Choice Options

  • A 3:08
  • B 3:16
  • C 16:03
  • D 8:03

Step-by-Step Verified Solution

PV = nRT

400 ×\times 103 ×\times 500 ×\times 10 −- 6 = n (253)\left( {{{25} \over 3}} \right) (300)

n = 225{{2 \over {25}}}

n = n1 + n2

225{{2 \over {25}}} = M12+M232{{{M_1}} \over 2} + {{{M_2}} \over {32}}

Also, M1 + M2 = 0.76 gm

M2M1=163{{{M_2}} \over {{M_1}}} = {{16} \over 3}

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