First slide

Thermal expansion

Question

Density of a substance at $0^{0} C$ is $10.6 g m / c . c$ and at $100^{0} C$ is $10 g m / c . c$ . Coefficient of linear expansion of solid is

Moderate

A

$0.0006 /^{0} C$
B

$0.0004 /^{0} C$
C

$0.0003 / {}^{0}C$
D

$0.0002 / {}^{0}C$

Solution

$c o e f f i c i e n t o f v o l u m e e x p a n s i o n o f s o l i d i s γ = \frac{ρ_{1} - ρ_{2}}{ρ_{2} Δ t} h e r e ρ_{1} i s d e n s i t y a t 0^{0} C = 10.6 g m / c c ρ_{2} i s d e n s i t y a t 100^{0} C = 10 g m / c c Δ t i s c h a n g e i n t e m p e r a t u r e a n d γ = 3 α s u b s t i t u t e t h e s e v a l u e s i n a b o v e e q u a t i o n \Rightarrow 3 α = \frac{10.6 - 10}{10 (100 - 0)} α = \frac{0.6}{3000} α = 2 \times 10^{- 4} = 0.0002 /^{0} C$

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