Question

Water falls from 100 metre height. What will be temperature rise per kg of water due to fall?
\(g = 10 \, \text{m/s}^2\), specific heat of water = 4200 Joule/kg°C

• A. 2.238°C
• B. 1.238°C
• C. 0.0238°C
• D. 0.238°C

Hint:

The temperature rise due to work done by gravity is calculated using the equation \(mgh = mc\Delta T\).

Answer 1

The Correct Option is A

The force of gravity transforms into heat, causing a temperature increase. The work done is:\n\[\nW = mgh\n\]\nThe heat generated relates to the temperature change as follows:\n\[\nQ = mc\Delta T\n\]\nBy equating the two:\n\[\nmgh = mc\Delta T\n\]\nSolving for \(\Delta T\), the temperature rise is calculated to be 2.238°C.