Question

The cubic expansivity of mercury is 1.8 x 10-4K-1 and the linear expansivity of glass 8.0 x 10-6K-1, calculate the apparent expansivity of mercury in a glass container​

Answer 1

Explanation:

real expansivity =apparent expansivity +cubic expansivity

but apparent expansivity =3×linear expansivity

=3×8.0×10^-6=0.24×10^-4

real expansivity =0.24×10^-4+1.8×10^-4=2.04×10^-4K^-1

Answer 2

the apparent expansivity of mercury in a glass container is 1.72 x 10^-4 K^-1.

The apparent expansivity of a material in a container is the effective expansivity of the material taking into account the expansion or contraction of the container. In this case, we need to calculate the apparent expansivity of mercury in a glass container.

The cubic expansivity of mercury is 1.8 x 10^-4 K^-1, which means that for every degree increase in temperature, the volume of mercury increases by 1.8 x 10^-4 times its original volume. The linear expansivity of glass is 8.0 x 10^-6 K^-1, which means that for every degree increase in temperature, the length of glass increases by 8.0 x 10^-6 times its original length.

To calculate the apparent expansivity of mercury in a glass container, we need to subtract the linear expansivity of glass from the cubic expansivity of mercury. Therefore, the apparent expansivity of mercury in a glass container is:

α_app = α_m - α_g = (1.8 x 10^-4 K^-1) - (8.0 x 10^-6 K^-1) = 1.72 x 10^-4 K^-1

This means that for every degree increase in temperature, the volume of mercury in a glass container increases by 1.72 x 10^-4 times its original volume.

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