Hii manasha!

It's not possible to check the exact number of vacant seats after KCET 1st round as Karnataka examination authority does not publish a direct list of vacant seats college wise. They only release the allotment result, seat matrix and cutoff ranks.

This means that you cannot simply login and see the number of seats vacant in a college. A practical way to check would be to download the round One seat matrix from the official portal it will tell total number of seats which are available in each course and college. Then download the round one allotment for cutoff list which will show how many sheets were actually allotted and till what rank they have filled students.

By comparing these to you can make estimate of seats filled as per the allotment list. Another way is that if you have not been alloted a seat in round 1 than you can wait and check round 2 allotment if seats would be vacant in your category then you will get allotment as per your marks and rank.

Hope it helps!