A 100.0 cm long brass rod is heated from 20 degrees C to a final temp of 100 degrees C. Find the change in the length of the rod. (a-19.0x10^-6/degree for brass)

To find the change in length of the brass rod, we need to use the coefficient of linear expansion for brass.

The formula for calculating the change in length is given by:
ΔL = α * L * ΔT

Where:
ΔL is the change in length of the rod
α is the coefficient of linear expansion
L is the original length of the rod
ΔT is the change in temperature

Given values:
α = 19.0 x 10^-6 / degree (coefficient of linear expansion for brass)
L = 100.0 cm (original length of the rod)
ΔT = 100 degrees C - 20 degrees C = 80 degrees C (change in temperature)

Substituting the values into the equation, we have:
ΔL = (19.0 x 10^-6 / degree) * (100.0 cm) * (80 degrees C)

Calculating the product on the right side of the equation:
ΔL = 1.52 x 10^-4 cm/degree * 80 degrees

Finally, evaluating the expression:
ΔL = 0.01216 cm

Therefore, the change in length of the brass rod is 0.01216 cm.