A chef, awaking one morning to find the stove out of order decides to boil water for coffee by shaking it in a thermos flask. Let us suppose that the chef uses of tap water at , and the water falls 35 cm each shake, the shape making 30 shakes each minute. Neglecting any loss of energy, we have to estimate how long the flask must be shaken before the water boils.
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Solution: Click For PDF Version We first calculate the temperature equivalent in Celsius to . We use the relation
We find that is equal to Volume of water to be boiled by shaking is Mass of the water to be boiled is
as the density of water Amount of energy gained by the water to be boiled in each shake will be the change in gravitational potential energy in 0.35 m. It is Specific heat of water, Amount of heat required to raise the temperature of water from to will be
As 30 shakes are imparted in a minute, the time required for obtaining mechanical energy equal to Q will be
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