If you put the broth in a bowl and freeze it in the refrigerator, will it freeze the bowl?
Usually an open container will not freeze and crack. If you must have a lid, your soup should not be too full, so that it will not break because of the volume change of the soup at different temperatures during freezing (of course, it is best not to use a container that is too thin and fragile, because the density of water is greater than that of ice, and the volume will naturally increase after freezing).