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

The value is
`E_t = 17958.2 \ J`

Step-by-step 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 = (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 = ( 3)/(2) * 2 * 8.314 * 720`

=>
`E_t = 17958.2 \ J`