Question

Determine the difference in temperature between the top and bottom of a waterfall with height 210cm

Answer 1

Answer:

Difference in temperature is $5^oC$

Explanation:

Height of the waterfall h= 210 cm =2.1 m

Specific heat of water C = 4.186 joule/gram °C

Energy at the top of water fall is potential energy = $mgh$

Energy at  bottom of the fall is heat energy= $mC\Delta T$

Potential energy = Heat energy

$mgh =mC\Delta T\\\Delta T=\frac{mgh}{mC} \\\Delta T=\frac{9.8 \times 2.1}{4.18} \\\Delta T=4.92 ^0C=5^oC$

Difference in temperature is $5^oC$