“And I will scatter you among the nations, and disperse you through the countries, and I will consume your filthiness out of you, and you will be profaned in yourself in the sight of the nations, and you will know that I am Yahweh.”
God will deal with them by scattering them among the nations and dispersing them through many countries. They knew what this would involve, either being led in chains to a foreign land, or fleeing as refugees to places where life would be hard and they might well find themselves unwelcome. Their wealth, such as it was, would be eaten up, and they would often face degradation. Furthermore it would tend to destroy their identity, and to make them a byword to those among whom they settled. And they would be away from the land of their inheritance.
But the purpose of all this was so as to make them face up to their sinfulness, was so that their filthiness might be taken out of them, burned out by their humiliating experiences, and so that they might recognise by what they underwent that they had diminished themselves by ceasing to be what God had intended for them, to be witnesses to the nations, they had ‘profaned' themselves, thus hopefully bringing them to consider how they could restore themselves to their proper purpose as they came to recognise Who and What Yahweh really was.
‘And you will know that I am Yahweh.' This is a constant theme in Ezekiel. This in the end was God's purpose.