Calculate the change in volume of an iron block 10cm ×20cm×5cm if its temperature is raised from 10°c to 40°c Given coefficient of linear expansion of iron = 1.2×10^-5 °c ^-1

Asked by sanjanapujar80 | 12th Jun, 2021, 10:29: AM

Expert Answer:

Initial volume  Vo = 10 × 20 × 5 = 1000 cm3
 
final volume V after thermal expansion , V = Vo ( 1 + γ ΔT ) 
 
where γ is volume expansion coefficient and ΔT is change in temperature .
 
If α is linear expansion coefficient , then volume expansion coefficient γ = 3 α
 
γ  = 3 × 1.2 × 10-5 ( oC )-1  = 3.6 × 10-5 oC )-1 

final volume V = 1000 [ 1 + 3.6 × 10-5 × (40-10) ] = 1001.08 cm3 

Answered by Thiyagarajan K | 12th Jun, 2021, 01:18: PM