The brass bar and the aluminum bar in the drawing are each attached to an immovable wall. At 29°C the air gap between the rods is 2 x 10^-3 m. At what temperature will the gap be closed?

Question

The length of the brass rod is 2.0m

The lenght of the aluminum rod is 1.0m

The coefficient of linear expansion of Brass = 19 x 10^-6

The coefficient of linear expansion of Aluminum = 23 x 10^-6.

I am unsure where to go from here.

gap= deltaL for alum + delta L for Brass

solve for delta T, it is the same in both linear expansions.

Ao do we have to add the specific heat capacities ?

Ao do we have to add the specific heat capacities ?

Answer 1

2E-3= (19E-6)(2)(DeltaT) + (23E-6)(1)(DeltaT)

Simplified equation:
.002= (3.8E-5) (DeltaT) + (2.3E-5) (DeltaT)

More simpllified:
.002= (6.1E-5) (DeltaT)

DeltaT= 32.7869

Answer:
32.7869 + 29 = 61.7869

Answer 2

faty