The ratio of the coefficient of volume expansion of a glass container to that of a viscous liquid kept inside the container is 1: 4. What fraction of the inner volume of the container should the liquid occupy so that the volume of the remaining vacant space will be same at all temperatures ?

Question

The ratio of the coefficient of volume expansion of a glass container to that of a viscous liquid kept inside the container is 1: 4. What fraction of the inner volume of the container should the liquid occupy so that the volume of the remaining vacant space will be same at all temperatures ? (A) 2: 5 (B) 1: 4 (C) 1: 64 (D) 1: 8

Tardigrade Admin · Accepted Answer

When there is no change in liquid level in vessel then &gamma;'real=&gamma;'vessel Change in volume in liquid relative to vessel Δ Vapp=V&gamma;app Δθ=V(&gamma; 'real-&gamma;'vessel)

Q. The ratio of the coefficient of volume expansion of a glass container to that of a viscous liquid kept inside the container is $1 : 4$ . What fraction of the inner volume of the container should the liquid occupy so that the volume of the remaining vacant space will be same at all temperatures ?

$2 : 5$

$1 : 4$

$1 : 64$

$1 : 8$

When there is no change in liquid level in vessel then $γ_{re a l}^{'} = γ_{v esse l}^{'}$
Change in volume in liquid relative to vessel
$Δ V_{a pp} = V γ_{a pp} Δ θ = V (γ_{re a l}^{'} - γ_{_{v esse l}}^{'})$

Q. The ratio of the coefficient of volume expansion of a glass container to that of a viscous liquid kept inside the container is 1:4. What fraction of the inner volume of the container should the liquid occupy so that the volume of the remaining vacant space will be same at all temperatures ?

2:5

1:4

1:64

1:8