Calculate the value of the translational partition function of O2 at 1000 K for a volume of 1 m3. Submit your answer multiplied by 10^−32 (i

Question

Calculate the value of the translational partition function of O2 at 1000 K for a volume of 1 m3. Submit your answer multiplied by 10^−32 (i.e. if you calculate 4.2e33, input 42).​

in progress 0
King 4 years 2021-08-17T19:44:46+00:00 1 Answers 88 views 0

Answers ( )

  1. kimcuc
    0
    2021-08-17T19:46:10+00:00
    Reply

    Answer:

    The value  of  the function is  q__{t }} = 1.878 *10^{35}

    Explanation:

    From the question we are told that

         The temperature is  T = 1000 \ K

          The volume  is  V = 1 m^3

    Generally the  transnational partition function is mathematically represented as

            q__{t }} = [\frac{2 * \pi * m * k * T }{ N_a * h} ]^{\frac{3}{2} } * V

    Where  m is the molar mass of oxygen with a constant value of  m = 32 *10^{-3} \ kg/mol

     k  is the Boltzmann constant with a value  of  k = 1.38 *10^{-23 } \ J/K

    N_a is the Avogadro Number with a constant value of  N_a = 6.022 *10^{23} \ atoms

    h is  the Planck’s  constant  with value   h = 6.626 *10^{-34 } \ J\cdot s

    Substituting values

           q__{t }} = [\frac{2 * 3.142 * 32*10^{-3} * 1.38 *10^{-23} * 1000 }{ 6.022 *10^{23} * [6.626 *10^{-34}] ^2 }]^{\frac{3}{2} } * 1

           q__{t }} = 1.878 *10^{35}

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )