Final answer:
To determine the volume of gas required for 1 mmBTU, divide 1,000,000 BTU by the heating value of the gas, which is 1,000 BTU per cf, resulting in a volume of 1,000 cubic feet.
Step-by-step explanation:
The question asks to calculate the volume of a gas stream required to yield 1 million British Thermal Units (mmBTU) given that the gas has a heating value of 1,000 BTU per cubic foot (cf). To find the volume, divide 1 mmBTU by the heating value per cubic foot. Since 1 mmBTU is equivalent to 1,000,000 BTU, you simply divide this value by 1,000 BTU/cf to determine the required volume in cubic feet.
So, 1,000,000 BTU / 1,000 BTU/cf would equal to a volume of 1,000 cubic feet of gas needed to achieve 1 mmBTU of energy.