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Physics

(a) Water falls from a height of 150 m. If the specific heat capacity of water is 4.2 kJ kg-1 °C-1 and g = 10 ms-2, then find the rise in temperature of water.

(b) What is determined by the temperature of a body?

Calorimetry

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Answer

(a) Given,

Height = 150 m

Specific heat capacity of water = 4.2 kJ kg-1 °C-1 = 4200 J kg-1 °C-1

g = 10 ms-2

Let, whole of the energy possessed by water at the height is changed to heat energy on striking the bottom then initial energy possessed by water = heat energy gained by water.

mgh = mcΔt

Δt = ghc\dfrac{\text{gh}}{\text{c}} = 10×1504200\dfrac{10 \times 150}{4200} = 0.357 °C ≈ 0.36°C

Hence, rise in temperature = 0.36°C

(b) Temperature is a parameter which tells the thermal state of a body (i.e., the degree of hotness or coolness of the body). It determines the direction of flow of heat when two bodies at different temperatures are placed in contact.

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