In addition to the suggestion by Mr. Kotti kumar, I recommend any chemical engineer to understand, acquire and apply the latest tools like Process intensification, AI, big data analysis, and advanced modelling skills in process engineering. These will equip the process engineer with more skills that enable him to be more efficient, advanced and more apt and add more value to the companies.
Learn to 'work with people' and 'deal with data' are two potential answers to your question that were discussed at the April 2020 AIChE VLS meeting. The meeting was to provide input from rank-and-file engineers to the NASEM study on Chemical Engineering in the 21st Century.
In preparation for the VLS meeting, we had engineers respond to a wide-ranging questionnaire which included the question
What areas do you wish you had been better prepared for in your current job? List up to three areas where you feel you received insufficient training or education, etc.
We received quite a variety of answers to that question. The most popular answers were related to soft skills or non-engineering skills. In the meeting, we polled the attendees (over 100 people between our two meetings) and they identified "dealing with data" and "working with people" as the two highest priority areas from a list of 10 potential topics. Both engineering and non-engineering areas were among the 10 topics based on the questionnaire results, yet the attendees chose "dealing with data" and "working with people" as their priorities. The attendees generated ideas on areas for improvement and training ideas for those two areas.
We will be posting on Discussion Central how people can access the meeting materials and output from the April VLS meeting. The meeting was not just focused on areas where chemical engineers felt unprepared in their current job. A large part of the meeting was focused on "megatrends" where chemical engineers will make an impact in the next 30 years, such as changes in resources, clean manufacturing, and medical advances.
I have to share one more thought on your question. I hope that when you ask about "advancing one's career," you are referring to how engineers can grow in how they produce and deliver and enjoy their work and not just how they get promoted. Far too many people focus on promotion as their metric for "advancement," when in fact I find that it is more important to enjoy your work and keep learning and growing in how you deliver your work.