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The water flowing over Niagara Falls drops a distance of 50 m. If all the gravitational potential energy is converted to thermal energy, by what temperature does the water rise? The specific heat of water is 4186 J/kg ∙ K.
a)0.42 C°
b)0.37 C°
c)0.12 C°
d)0.10 C°

Respuesta :

Answer :  (C)  0.12 C°

Explanation :

It is given that all the gravitational potential energy is converted to thermal energy.

So, the thermal energy is balanced by gravitational potential energy.

Gravitational potential energy, [tex]U=mgh[/tex]

And amount of heat is, [tex]Q=mc\Delta T[/tex]

Where, c is specific heat.

So, [tex]mgh=mc\Delta T[/tex]

[tex]\Delta T=\dfrac{gh}{c}[/tex]

[tex]\Delta T=\dfrac{9.8\ m/s^2\times 5\ m}{4186\ J/kg\ K}[/tex]

[tex]\Delta T=0.1170\ C^0}[/tex]

or [tex]\Delta T= 0.12\ C^0[/tex]

Hence, this is the required solution.

Correct option is (C)  0.12 C°.

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