Sound intensity is defined as the power carried by sound waves per unit area in a direction perpendicular to that area. The formula for sound intensity level in decibels is:
[tex]L=10log_{10}\frac{I}{I_0}dB[/tex]
Using this formula we can find sound intensity:
[tex]59=10log_{10}\frac{I}{10^{-12}}\\ 10^{5.9}=I\cdot 10^{12}\\ I=\frac{10^{5.9}}{10^{12}}\\ I=7.94\cdot10^{-7}\frac{W}{m^2}[/tex]
Now we just multiply this number by the area to get the energy absorbed per second:
[tex]P=I\cdot A=7.94\cdot10^{-7}\cdot 5\cdot 10^{-5}=3.97\cdot 10^{-11} $W[/tex]
