Question

Water falls from a height of 500 m. What is approximately the rise temperature of water at bottom if whole energy is used to heat the water?

• A. ${5000}^{\circ }C$
• B. ${500}^{\circ }C$
• C. ${1.17}^{\circ }C$
• D. ${0.23}^{\circ }C$

Answer 1

The correct option is C ${1.17}^{\circ }C$

Given,

Specific heat of water, $S_{water}=4.18kJ/kg{}^{o}C$

If increase in temperature is $\Delta T$

Potential Energy = heat gain by water

$mgh=ms\Delta T$

$\Delta T=\frac{gh}{s}=\frac{9.8\times 500}{4180}=1.17{}^{o}C$

Hence, increase in temperature of water is $1.17{}^{o}C$