Question

A silver bar 0.125 meter long is subjected to a temperature change from 200°C to 100°C. What will be the length of the bar after the temperature change?

Answer 1

Lc = Change in length (m)

Lo = Original length (m)

α = Linear Temperature Expansion Coefficient (10-6 m/K)

Tc = Change in temperature (K)

The coefficient of linear expansion (Kl ) for silver is 0.0000189.

The linear temperature expansion coefficient of Silver = 18.9×10-6 m/K

Thus,

Lc = α ×Tc× Lo  

Lc = 18.9×10-6× -100×0.125

Lc = -0.00023625

Change in length of bar = -0.00023625 m

New Length of bar = 0.125 - 0.00023625

Thus, the new Length of bar = 0.12476375 m