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.

Respuesta :

Given

Volume of the oxygen gas is

[tex]V=0.5L=0.0005m^3[/tex]

The temperature is

[tex]T=3^oC[/tex]

Pressure is

[tex]\begin{gathered} P=1.5atm \\ \Rightarrow P=1.5\times101325=151,987.5Pa \end{gathered}[/tex]

To find

The translational kinetic energy

Explanation

The translational kinetic energy is given by

[tex]K=\frac{3}{2}nRT[/tex]

For ideal gas,

[tex]PV=nRT[/tex]

Thus,

[tex]\begin{gathered} K=\frac{3}{2}PV \\ \Rightarrow K=\frac{3}{2}\times151987.5\times0.0005 \\ \Rightarrow K=113.99J \end{gathered}[/tex]

Conclusion

The translational kinetic energy is 113.99J