A glass vessel of volume V 0 is completely filled with a liquid and its temperature is raised by Δ T . What volume of the liquid will flow over, if the coefficient of linear expansion of glass is α g and coefficient of volume expansion of the liquid is γ L

Question

A glass vessel of volume V 0 is completely filled with a liquid and its temperature is raised by &#916; T . What volume of the liquid will flow over, if the coefficient of linear expansion of glass is &#945; g and coefficient of volume expansion of the liquid is &#947; L

Aicharya · Accepted Answer

Volume of the liquid overflow = Increase in the volume of the liquid − increase in the volume of the container.

$= [V_{0} (1 + γ_{L} ∆ T) - V_{0}] - [V_{0} (1 + γ_{g} ∆ T) - V_{0}]$

$= V_{0} ∆ T (γ_{L} - γ_{g})$

$= V_{0} ∆ T (γ_{L} - 3 α_{g})$

A glass vessel of volume V 0 is completely filled with a liquid and its temperature is raised by Δ T .…

Solution

A glass vessel of volume V 0 is completely filled with a liquid and its temperature is raised by &#916; T .…

Solution

A glass vessel of volume V 0 is completely filled with a liquid and its temperature is raised by Δ T .…