Final answer:
The difference in length between a meter stick made of steel and one made of aluminum at 22.0°C is calculated using the equation ΔL = LαΔT, where α is the coefficient of linear expansion and ΔT is the change in temperature. The coefficients of linear expansion for steel and aluminum can be used to calculate the difference in length at the given temperature.
Step-by-step explanation:
The difference in length between a meter stick made of steel and one made of aluminum at 22.0°C can be calculated using the equation:
ΔL = LαΔT
Where ΔL is the difference in length, L is the initial length, α is the coefficient of linear expansion, and ΔT is the change in temperature. The coefficient of linear expansion for steel is approximately 12 x 10^-6/°C and for aluminum it is approximately 23 x 10^-6/°C. Given that the initial lengths at 0°C are the same, we can use this equation to find the difference in length at 22.0°C.