Question

density of liquid decreases by 0.1% what is the linear expansivity if temperature increased by 100 degree C

Answer 1

Dear Student,

◆ Answer -

α = 3.33×10^-4 /℃

◆ Explanation -

We know that volume is inversely proportional to density. Thus 0.1 % decrease in density will cause 0.1 % in volume.

Applying formula for volume expansion -

∆V/V = γ.∆T

0.1/100 = γ × 100

γ = 0.1 / (100×100)

γ = 10^-5 /℃

To calculate linear expasivity -

α = γ/3

α = 10^-5 / 3

α = 3.33×10^-4 /℃

Therefore, linear expansivity of the liquid is 3.33×10^-4 /℃.

Hope this helps you...