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QJEEM22Ph80cb: JEE Main 2022 Physics - Class 11 JEEM22Ph80cb Solution: A vessel contains 16g of hydrogen and 128g of oxygen at…

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

Multiple Choice Options

  • A 72 ×\times 105
  • B 32 ×\times 105
  • C 27 ×\times 104
  • D 54 ×\times 104

Step-by-Step Verified Solution

Total number of moles are

n=nH2+nO2n = {n_{{H_2}}} + {n_{{O_2}}}

=162+12832= {{16} \over 2} + {{128} \over {32}}

= 12 moles

Using PV=nRTPV = nRT

V=nRTPV = {{nRT} \over P}

=12×8.31×273.15105= {{12 \times 8.31 \times 273.15} \over {{{10}^5}}} m3

= 0.27 m3 = 27 ×\times 104 cm3

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