Hi Sunil,

There are 23 IIITs, in which five IIITs are under MHRD and other are public-private partnership (ppp). According to NIRF ranking there is IIIT Hyderabad, IIIT Delhi, IIIT Bangalore, PDPMIIITDM Jabalpur, ABV-IIITM Gwalior, IIIT Allahabad and IIIT Kancheepuram. Every IIIT is best for IT/CSE field rather than other institute. There are five IIITs under MHRD and rest ppp.

ABV-IIITM GWALIOR

IIITDM KURNOOL

IIITDM KANCHEEPURAM

PDPMIIITDM JABALPUR

IIIT ALLAHABAD

This is all for IIITs. Now, Chemical Engineering has great scopes as it not only for industrial exposure but also you be in a field  of nano technology with this, environmentalist, solar energy. It is a good branch as it has its own purpose in the engineering field. I hope you got your answer, feel free to ask about this field if you have any more query.