How much is a 2 carat total diamond weight Round diamonds Color IJ Clarity I2 I3 Polished finish worth?

Your collection -- total carat weight, indicates that many diamonds are involved in the total value.

Every diamond is valued individually, and the clarity and colours you describe are of medium to low quality gemstones.

Without seeing the cache of stones, it is not possible to estimate the total worth. A local gemologist can help you evaluate each diamond and you can pay the professional to give you a certificate for each gem. This will help you value the lot.

Otherwise, the value is worth whatever someone will pay you for the diamonds.