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TS EAMCET · Physics · Thermal Properties of Matter

The densities of a liquid at \(0^{\circ} \mathrm{C}\) and \(100^{\circ} \mathrm{C}\) are respectively 1.0127 and 1 . A specific gravity bottle is filled with \(300 \mathrm{~g}\) of the liquid at \(0^{\circ} \mathrm{C}\) upto the brim and it is heated to \(100^{\circ} \mathrm{C}\). Then, the mass of the liquid expelled in grams is: (Coefficient of linear expansion of glass \(\left.=9 \times 10^{-6} /{ }^{\circ} \mathrm{C}\right)\)

  1. A \(\frac{3}{10.1}\)
  2. B \(\frac{3}{1.01}\)
  3. C \(\frac{3.81}{1.0127}\)
  4. D \(\frac{3.81}{0.0127}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{3}{1.01}\)

Step-by-step Solution

Detailed explanation

Density at \(0^{\circ} \mathrm{C}, \rho_0=1.0127\) Density at \(100^{\circ} \mathrm{C}, \rho_{100}=1\) Coefficient of real expansion of liquid, \(\gamma_{\text {real }}=\frac{\rho_0-\rho_{100}}{\rho_{100} \times \Delta t}\)…
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