Answer : The percent increase in its kinetic energy is, 30 %
Explanation :
Formula used for kinetic energy is:
[tex]K.E=\frac{3}{2}RT[/tex]
where,
K.E = kinetic energy
R = gas constant
T = temperature
The expression of kinetic energy at 300 K temperature:
[tex]K.E_{300K}=\frac{3}{2}\times (300K)R=450R[/tex]
The expression of kinetic energy at 390 K temperature:
[tex]K.E_{390K}=\frac{3}{2}\times (390K)R=585R[/tex]
Now we have to calculate the change in kinetic energy.
Change in kinetic energy = [tex]K.E_{390K}-K.E_{300K}[/tex]
Change in kinetic energy = [tex]585R-450R[/tex]
Change in kinetic energy = [tex]135R[/tex]
Now we have to calculate the percent increase in its kinetic energy.
Percent increase in kinetic energy = [tex]\frac{135R}{450R}\times 100[/tex]
Percent increase in kinetic energy = 30 %
Thus, the percent increase in its kinetic energy is, 30 %
