The linear expansivity (α) is given by the formula:
α = ΔL / (L * ΔT)
where ΔL is the change in length, L is the original length, and ΔT is the change in temperature.
In this case, the linear expansivity (α) is 12 × 10^-1 / K, ΔT is 30 K, and L is 10 cm.
We can rearrange the formula to solve for ΔL:
ΔL = α * L * ΔT
ΔL = (12 × 10^-1 / K) * (10 cm) * (30 K)
ΔL = 36 cm
Since the cube has equal length for all sides, the change in length will be the same for all sides. Therefore, the length of each side of the cube increased by 36 cm.
The new length of each side is 10 cm + 36 cm = 46 cm.
To find the area of one face of the cube, we can use the formula:
Area = (length of one side)^2
Area = (46 cm)^2
Area = 2116 cm^2
Therefore, the area of one face of the cube, when its temperature is raised by 30 K, is 2116 cm².
The linear expansivity of a material of a cube is 12×10^-1/k if the length of each side of the cube is 10cm find the area of one face of the cube when it's temperature is raised by 30k
1 answer
1 answer