Material X has a coefficient of linear expansion a = 0.00000271/degree C. What value would you expect its volume coefficient of expansion to be
To find the value of the volume coefficient of expansion (β), we can use the relationship between the linear expansion coefficient (α) and the volume expansion coefficient (β).
The relationship between α and β is given by:
β = 3α
Therefore, to find the value of β, we can substitute the value of α into the equation:
β = 3(0.00000271/degree C)
Calculating this expression gives us:
β ≈ 0.00000813/degree C
Hence, the value of the volume coefficient of expansion (β) for Material X is approximately 0.00000813 per degree Celsius.
To determine the volume coefficient of expansion, we need to know the relationship between the linear expansion coefficient and the volume expansion coefficient for Material X.
The volume expansion coefficient (β) can be calculated using the linear expansion coefficient (α) and the number of dimensions (n) of the material. For isotropic materials like solid objects, the number of dimensions is 3.
The relationship between α and β is given by the equation:
β = n * α
In this case, the linear expansion coefficient (α) of Material X is given as 0.00000271/°C, and the number of dimensions (n) is 3.
Substituting these values into the equation, we can calculate the volume expansion coefficient:
β = 3 * 0.00000271/°C
β ≈ 0.00000813/°C
Therefore, the expected value of the volume coefficient of expansion for Material X is approximately 0.00000813/°C.