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226.


Problem 25.11 (RHK)


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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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