Question

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?

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