Question

On Venus, the atmospheric temperature is a hot 720 K due to the greenhouse effect. It consists mostly of carbon dioxide (molar mass 44 g/mol) and the pressure is 92 atm. What is the total translational kinetic energy of 3 moles of carbon dioxide molecules?

Answer 1

Answer:

The value is   $E_t = 17958.2 \ J$

Explanation:

From the question we are told that

     The atmospheric temperature is $T_a = 720 \ K$

       The molar mass of carbon dioxide is  $Z = 44 \ g/mol$

        The pressure is $P = 92 \ atm =$

      The number of moles is $n = 3 \ moles$

Generally the translational kinetic energy is mathematically represented as

        $E_t = \frac{f}{2} * n * R T$

       Here  R is the gas constant with value  $R = 8.314 J\cdot K^{-1}\cdot mol^{-1}$

Generally the degree of freedom of carbon dioxide in terms of  translational motion is  f =  3

     So

           $E_t = \frac{ 3}{2} * 2 * 8.314 * 720$

=>         $E_t = 17958.2 \ J$