Rod a has twice the diameter of rod b, but both are made of iron and have the same initial length. both rods are now subjected to the same change in temperature (but remain solid). how would the change in the rods' lengths compare?

A-mn has a cubic structure with a0 0.8931 nm and a density of 7.47 g/cm3. b-mn has a different cubic structure, with a0 0.6326 nm and a density of 7.26 g/cm3. the atomic weight of manganese is 54.938 g/mol and the atomic radius is 0.112 nm. determine the percent volume change that would occur if a-mn transforms to b-mn.