Question

Find the total translational kinetic energy of0.5 L of oxygen gas held at a temperature of3◦C and a pressure of 1.5 atm.Answer in units of J.

Answer 1

Given

Volume of the oxygen gas is

`V=0.5L=0.0005m^3`

The temperature is

`T=3^oC`

Pressure is

`\begin{gathered} P=1.5atm \\ \Rightarrow P=1.5*101325=151,987.5Pa \end{gathered}`

To find

The translational kinetic energy

Step-by-step explanation

The translational kinetic energy is given by

`K=(3)/(2)nRT`

For ideal gas,

`PV=nRT`

Thus,

`\begin{gathered} K=(3)/(2)PV \\ \Rightarrow K=(3)/(2)*151987.5*0.0005 \\ \Rightarrow K=113.99J \end{gathered}`

Conclusion

The translational kinetic energy is 113.99J