First slide

Thermal expansion

Question

A vessel is half filled with a liquid at 0°C. When the vessel is heated to 100°C, the liquid occupies 3/4 volume of the vessel. Coefficient of apparent expansion of the liquid is

Easy

A

0.5/°C
B

0.05/°C
C

0.005/°C
D

0.0005/°C

Solution

Volume of vessel = V
Initial volume of liquid V₁ = V/2
Final volume of liquid V₂ = 3V/4
Initial temp t₁ = 0⁰C
Final temp t₂ = 100⁰C
We have $\large \gamma_a=\frac {V_2-V_1}{V_1(t_2-t_1)}=\frac {\frac 34V-\frac V2}{\frac V2(100-0)}=0.005/^0C$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App