Yes you can apply for government sector jobs after passing B tech chemical engineering course .Bachelor of Technology in Chemical Engineering is an undergraduate Chemical Engineering course . here I am givng you information about job scopes after passing B tech chemical engineering course .

Core companies for jobs are :
IOCL
HPCL
BPCL
Indian Drugs & Pharmaceuticals Limited (IDPL)
Bengal Chemicals & Pharmaceuticals
Investment Corporation of Orissa and Industrial Promotion and (IPICOL)
GAIL
DRDO

You can apply for following exams :
Bank PO exam
Bank clerk exam
IAS exam
IPS exam
Civil service exam
SSC CGL exam
CDS exam

B.Tech. Chemical Engineering Job Types
Chemical Engineering Trainee
Chemical Engineer - Safety
Chemical Engineer - Oil & Gas
Technical Service Engineer - Waterproofing Chemicals
Professor - Chemical Engineering
Fire & Safety Officer - Chemical Engineer
Manager - Process Engineering
Executive - Engineering Purchase
Chemical System Coordinator