How much energy in calories is required to evaporate 1000000

How much energy in calories is required to evaporate 1,000,000 liters of water from a mountain lake at 5 degrees Celsius?

Solution

Solution:

Initial tempreture of lake is given To= 5 C

And we know that water evaporate at 100 C

therefore change it tempreture = 100 - 5 = 95 C

One liter of water is about 1 Kg or 1000g,

hence 1000000 liters = 1000000000 g =10⁹ g

Now, Required heat in calories

Q = m x (delta T) x Specific heat of water

= 10⁹g x 95C x 1 cal/g C

= 95 x 10⁹ cal = 95000000000 cal

= 95 x 10⁹ cal

Answer ..