Question

The quantities of heat required to raise the temperature of two copper spheres of radii r1 and r2{r1=1.5r2}through 1k are in the ratio of

Answer 1

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Answer 2

Hey Dear,

◆ Answer -

∆Q1 / ∆Q2 = 27 / 8

◆ Explanation -

Heat required to raise temperature of solid sphere is calculated as -

∆Q = m × c × ∆T

∆Q = ρV × c × ∆T

For sphere 1,

∆Q1 = ρV1 × c × ∆T

For sphere 2,

∆Q2 = ρV2 × c × ∆T

Dividing (1) by (2),

∆Q1 / ∆Q2 = V1 / V2

∆Q1 / ∆Q2 = (r1 / r2)^3

∆Q1 / ∆Q2 = (1.5r2 / r2)^3

∆Q1 / ∆Q2 = 3.375 = 27 / 8

Therefore, ratio of heat required to raise temperature of spheres is 27/8.

Hope this helped..