If a cube of a certain metal increases its volume from 15 cm³ to 17 cm³ as the temperature increases from 12 $\circ$ C to 28 $\circ$ C,what is the metal's linear expansion coefficient? A)2.8 * 10^-3 $\circ$ C^-1 B)4.0 * 10^-3 $\circ$ C^-1 C)7.4 * 10^-3 $\circ$ C^-1 D)8.3 * 10^-3 $\circ$ C^-1

Question

Quizplus · Accepted Answer

We can use the formula:

ΔV = V0αΔT

where ΔV is the change in volume, V0 is the initial volume, α is the linear expansion coefficient, and ΔT is the change in temperature.

Plugging in the values given, we get:

2 cm^3 = 15 cm^3 α (28°C - 12°C)

Simplifying, we get:

α = 2 cm^3 / 15 cm^3 / (16°C) = 2.8 x 10^-5 / °C = 2.8 x 10^-3 / °F

Converting to the given units, we get the answer of 2.8 x 10^-3 / °F. Therefore, the best choice is A.

If a Cube of a Certain Metal Increases Its Volume ∘\circ∘

If a Cube of a Certain Metal Increases Its Volume $\circ$