Find the change in volume of sphere of aluminum with an initial radius of 10cm when the sphere is heated from 0.0 degree Celsius to 10 degree Celsius?
Answers
Answered by
1
Answer:
Since a volume is the product of three lengths the change in volume due to a temperature change ΔT is given by ΔV=3αVΔT, where V is the original volume and α is the coefficient of linear expansion. See Eq 18−11. Since V=(4π/3)R
3
, where R is the original radius of the sphere, then
ΔV=3α(
3
4π
R
3
)ΔT=(23×10
−6
/C
o
)(4π)(10 cm)
3
(100
o
C)=29 cm
3
The value for the coefficient of linear expansion is found in Table 18−2. The change in volume can be expressed as ΔV/V=βΔT, where β=3α is the coefficient of volume expansion. For aluminium, we have β=3α=36×10
−6
/C
o
Similar questions