# All I need is a Warm Shower.....

**Classical Mechanics**Level 3

On a particular day, you came back home early in the afternoon and felt that you had a really long day at work. All you want to do is to take a warm shower, a light meal and some sleep..... However, a few weeks ago, one of your neighbors commented that your solar panel was not of a high standard and only had a efficiency of \(30%\)%. Due to this, you want to investigate how effective your solar heating system. On this same particular day, the amount of solar radiation falling on the panel is \(600W{ m }^{ -2 }\). Given that the total area of the panel is \(16{ m }^{ 2 }\) and at the same time, the water that enters the solar heating system is at a temperature of \(15^{ 0 }C\). Calculate the temperature of the water leaving the shower head when it is operating at the maximum flow rate of \(90g{ s }^{ -1 }\).

**Important**: Consider the operation of the solar heating system to be working after \(5\) hours. To put in simply, use the time duration of \(5\) hours to help solve the problem. Don't forget to input your answer in degree Celsius.