ExamBro
ExamBro
COMEDK · Physics · 12. Thermal Properties of Matter

The coefficient of volume expansion of glycerine is \(49 \times 10^{-5} \mathrm{~K}^{-1}\). The percentage change in its density for a \(50^{\circ} \mathrm{C}\) rise in temperature is

  1. A 4.25
  2. B 5.24
  3. C 3.54
  4. D 2.45
Verified Solution

Answer & Solution

Correct Answer

(D) 2.45

Step-by-step Solution

Detailed explanation

The density \(\rho\) of a liquid at temperature \(T\) is related to its density \(\rho_0\) at initial temperature \(T_0\) by the relation \(\rho = \dfrac{\rho_0}{1 + \gamma \Delta T}\), where \(\gamma\) is the coefficient of volume expansion and \(\Delta T\) is the change in…