The normal boiling point of water is 100 Celcius and the molar enthalpy of vaporization of water is 40.7 KJ/mol. What is the boiling point of water under a pressure of 0.500 atm?

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empatteMattmkezo · Accepted Answer

Given,The normal boiling point of water   (      T    1    )  =      100    ∘    C  =  (  273.15  +  100  K  )  =  373.15  KNote: pressure at normal boiling point of water   (      P    1    )  =  1     a  t  mBoiling point of water under a pressure of 0.500 atm   (      T    2    )  =  ?Pressure   (      P    2    )  =  0.500Molar enthalpy of vaporization   (  △      H          vap        )  =  40.7     k  J      /    m  o  l  =  40.7  ×  1000     J      /    m  o  l  =  40700     J      /    m  o  lNote: universal gas constant   (  R  )  =  8.314     J      /    m  o  l  .  KCalculating the boiling point of water under a pressure of 0.500 atm   (      T    2    ):  ln  ⁡  (            P      2              P      1        )  =  −            △              H                  v          a          p                      R    (      1          T      2        −      1          T      1        )    ln  ⁡  (            0.500             a      t      m              1.0             a      t      m        )  =  −            −      40700              J                  m          o          l                            8.314              J                  m          o          l          ⋅          K                      (      1          T      2        −      1          373.15      K        )    −  0.693  =  −  4895.357  K  (      1          T      2        −      0.0268    K    )        1          T      2        −      0.00268    K    =      0.0001415267    K          1          T      2        =      0.0028215627    K          T    2    =      1    0.0028215627    K        T    2    =  354.41  K        T    2    =  (  354.41  −  273.15      )    ∘    C        T    2    =      81.26    ∘    CConclusion,So, the boiling point of water under a pressure of 0.500 atm is       81.26    ∘    CAnswer:       81.26    ∘    C

The normal boiling point of water is 100 Celcius and

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