The Amount of Energy released by a tropical thunderstorm

[button2]

I can't quite figure this out... but given this sceneraio:
Precipitation and energy can be thought of as closely related quaniities in a thunderstorm. That is, when rain forms via condensation, the atmosphere warms from the latent heat released. The amount of heat energy must be proportional to the amount of rainfall produced. In this case, the mass of the water content in a given thunderstorm is 9.72 * 10^8 kg. If a storm ingests 2.16*10^9m^3 of air with 9.72*10^5m^3 as condensed water, and given that the latent heat of vaporization is 2.5*10^6J/kg, what is the total number of Joules of energy generated by this storm?

 

[russ_watters]

Key words: latent heat released.

 

[kyle8921]

Based on the given information, we can calculate the total amount of energy released by the tropical thunderstorm. The first step is to calculate the total mass of water that has been condensed in the storm:

Mass of condensed water = 9.72 * 10^8 kg

Next, we need to calculate the energy released from the condensation process using the latent heat of vaporization:

Energy released = (Mass of condensed water) * (Latent heat of vaporization)
= (9.72 * 10^8 kg) * (2.5 * 10^6 J/kg)
= 2.43 * 10^15 J

Therefore, the total amount of energy released by this tropical thunderstorm is approximately 2.43 * 10^15 Joules. This is a significant amount of energy, which highlights the power and intensity of tropical thunderstorms.