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

Asked by medhavi1615 | 21st May, 2021, 11:32: AM

Expert Answer:

Initial volume Vo = 10 cm × 20 cm × 5 cm = 1000 cm3
Volume expansion coefficient γ = 3 × α = 3 × 1.2 × 10-5 ( oC )-1
 
Change in volume after heating from 10 oC to 40 oC  , V = Vo ( 1 + γ ΔT )
 
V = 1000 × ( 1 + 3.6 × 10-5 × 30 ) = 1001.08 cm3
 
Change in volume ΔV = ( 1001.08 - 1000 ) cm3 = 1.08 cm3

Answered by Thiyagarajan K | 21st May, 2021, 12:02: PM