Question

The linear expansivity of material of a cube is 12×10-6 k-1,if the length of each side of the cube is 10cm. Find the area of the cube and the volume of the cube when its temperature is raised by 30k

Answer 1

The linear expansivity of a material measures the change in length per unit length per 1°C change in temperature. The change in volume of a cube is given by AV = 3aVAT, where a is the linear expansivity, V is the initial volume, and AT is the change in temperature. Using this formula, we can calculate the change in volume of a cube when its temperature is raised by 30 K.

Step-by-step explanation:

The linear expansivity of a material, also known as the coefficient of linear expansion (a), is the change in length per unit length per 1°C change in temperature. The formula for the change in volume (AV) of a cube with sides of length L is given by AV = 3aVAT, where V is the initial volume of the cube and AT is the change in temperature.

Given that the linear expansivity of the material is 12x10-6 K-1 and the length of each side of the cube is 10 cm, we can calculate the change in volume (AV) when the temperature is raised by 30 K:

AV = 3aVAT

AV = 3(12x10-6 K-1)(10 cm)3(30 K)

AV ≈ 10.8 cm3