The coefficient of linear expansion of iron is 10^-5 per C°.The volume of an iron cube, 5 cm on edge, will increase by what amount if it is heated from 10°C to 60°C?

Question

Quizplus · Accepted Answer

The formula for finding the change in volume is ΔV = V * α * ΔT, where V is the original volume, α is the coefficient of linear expansion, and ΔT is the change in temperature.

First, convert the temperature change from Celsius to Fahrenheit:
ΔT = 60°C - 10°C = 50°C = 90°F

Next, calculate the original volume of the iron cube:
V = (5 cm)^3 = 125 cm^3

Now plug in the values and solve for ΔV:
ΔV = V * α * ΔT
ΔV = 125 cm^3 * 10.5 x 10^-6 per °C * 90°F
ΔV = 125 cm^3 * 10.5 x 10^-6 per °C * (5/9) x 50°C
ΔV = 0.1875 cm^3

Therefore, the volume of the iron cube will increase by 0.1875 cm^3, or 0.1875/125 = 0.0015 (or 0.15%) of its original volume. The answer is B, 0.1875 cm^3.

The Coefficient of Linear Expansion of Iron Is 10-5 Per

The Coefficient of Linear Expansion of Iron Is 10^-5 Per