Question

An iron sphere of radius `10 cm` is at temperature , `10^(@)C`. If the sphere is heated upto temperature `110^(@)C` , find the change in the volume of the sphere coefficient of linear expansion of iron = `11 xx 10^(-6) .^(@)C^(-1)`

Answer 1

Here, `r_(10) = 10 cm` ,
` Delta T = 110 - 10 = 100^(@)C`
`alpha = 11 xx 10^(-6) .^(@)C^(-1)` ,
`gamma = 3 alpha = 3 xx 11 xx 10^(-6) .^(@)C^(-1)`
Initial volume,
`V_(10) = 4/3 pi (r_(10))^(3) = 4/3 xx 3.14 xx (10)^(3) m^(3)` ltbr. Change in volume, `Delta V = V_(10) xx gamma xx Delta T`
`=13.8 cm^(3)`.