- #1
Lisa Marie
- 9
- 0
Homework Statement
A 1.0m long rod of metal has a diameter of 0.75 cm. This metal has a coefficient of linear expansion α = 4.8 × 10−5 1/K , a density of 9.7 × 103 kg/ m3 , and a heat capacity of 390 J/K . How much energy needs to be added as heat to increase the length of the rod by 7.5 × 10−3 m?
Homework Equations
V0=πr2h
ΔV=βV0ΔT
m=vρ
The Attempt at a Solution
V0=πr2]h
=π(0.0075/2)2(1)
=4.42×10-5
V0=πr2h
=π(7.5×10-3+1)(0.0075/2)2
=4.45×10-5
ΔV=βV0ΔT
ΔT=ΔV/(3αV0)
=(4.45×10-5-4.42×10-5)/(3(4.42×10-5))
m=vρ where do I go from here? Because the the mass would always be changing