Question

Thermal Expansion 1. When its teenperature is 25×C, a piece of comirson glass is 1.73 m in length. The temperature of the glass is then iecreased to 4000 ∘ C. How mach looger will the glass be at this cemperatere?

Answer 1

The change in length of the glass can be calculated using the formula ΔL = αLΔT, where ΔL is the change in length, α is the coefficient of linear expansion, L is the original length, and ΔT is the change in temperature. Using the coefficient of linear expansion for common glass, we can calculate that the glass will be 0.5745 m longer at a temperature of 4000°C.

Step-by-step explanation:

The change in length of a material due to temperature can be calculated using the formula:

ΔL = αLΔT

Where ΔL is the change in length, α is the coefficient of linear expansion, L is the original length, and ΔT is the change in temperature.

In this case, the coefficient of linear expansion for common glass is 9 x 10^-6 /°C.

Given that the original length of the glass is 1.73 m and the temperature change is from 25°C to 4000°C, we can calculate the change in length:

ΔL = (9 x 10^-6 /°C) x (1.73 m) x (4000°C - 25°C) = 0.5745 m

Therefore, the glass will be 0.5745 m longer at a temperature of 4000°C.