The International System of Quantities (ISQ) shall be used in education and textbooks, in scientific and engineering journals, in conference papers and proceedings, in industry, among others. The names of quantities together with their symbols and units are being published by the International Organization for Standardization, the standard ISO 80000 Quantities and units, composed of 13 parts. Mathematics and natural sciences (physics, light and radiation, acoustics, physical chemistry, atomic and nuclear physics, condensed matter physics) compose most of the parts. In addition, some engineering disciplines (mechanics, thermodynamics, electromagnetism) and characteristic numbers are covered. The units are based on the International System of Units (SI). Unfortunately, chemical and process engineering, as well as environmental engineering and engineering economics, are not dealt with in the standard. In this paper, they are proposed as an additional part of the ISO standard with a tentative name Chemical and environmental engineering. The additional part of the standard is suggested to include (a) reaction and separation engineering together with mass transfer and reaction kinetics, (b) process design, control, and optimization, (c) process economics, mathematical modeling, operational research, and (d) environmental engineering with climate change, pollution abatement, an increase in resource efficiency, zero waste and circular economy. The number of quantities is planned but not limited to about 70, the average of ISO 80000 parts. Each quantity item contains a quantity name and definition (including an equation if suitable), SI unit, and remarks (running number will be added later). The rules are defined in ISO 80000-1 General rules, and the practice of the other ISO 80000 parts is respected; the quantities already included in the other parts are not repeated. In addition, the IUPAC (International Union of Pure and Applied Chemistry) Green Book rules are respected. The literature used included traditional textbooks, encyclopedias, handbooks from the chemical engineering and environmental fields. Some common mistakes in printing symbols of quantities and units are mentioned.