Boltzmann’s constant is 1.38066 × 10−23 j/k, and the universal gas constant is 8.31451 j/k · mol.
if 2.4 mol of a gas is confined to a 4.3 l vessel at a pressure of 11 atm, what is the average kinetic energy of a gas molecule? answer in units of j.

Explanation:

First of all, let's convert everything into SI units:

n = 2.4 mol (number of gas moles)

(gas pressure)

(gas volume)

R = 8.31451 J/K · mol (gas constant)

The ideal gas equation states that

Solving for T, we find the gas temperature

And now we can find the average kinetic energy of the gas:

where

k = 1.38066 × 10−23 J/K is the Boltzmann's constant

Substituting,

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2