Final answer:
The average rate of production of the aerogel is 0.25 grams per minute.
Step-by-step explanation:
The average rate of production of the aerogel can be calculated by dividing the volume of aerogel produced by the time taken to produce it. In this case, the company can make 0.36 m^3 of aerogel in 24 hours. To convert this to grams per minute, we need to convert the volume to grams by multiplying it with the density of the aerogel. Let's assume the density of the aerogel is 1 g/cm^3. Since there are 1000 cm^3 in 1 m^3, the mass of 0.36 m^3 of aerogel would be 0.36 * 1000 g = 360 g. To get the rate of production in grams per minute, we divide the mass by the time in minutes. Since there are 60 minutes in an hour, the rate of production would be 360 g / (24 hours * 60 minutes/hour) = 0.25 g/min.