Final answer:
To find the mass of gasoline needed to fill a 12.3-gallon tank with a density of 0.737 g/mL, the volume is first converted to liters, then to milliliters, and finally, the density is used to calculate the mass, resulting in 34,270.138 grams of gasoline.
Step-by-step explanation:
To calculate the mass of gasoline that would fill a 12.3-gallon tank, given that the density of gasoline is 0.737 g/mL at 25 °C, and knowing that 1 US gallon is equal to 3.78 liters, you would first need to convert gallons to liters.
Here is the calculation process:
First, convert the volume of the gasoline tank from gallons to liters:
12.3 gallons × 3.78 L/gallon = 46.494 liters
Next, convert liters to milliliters, since the density of gasoline is given in g/mL:
46.494 liters × 1,000 mL/liter = 46,494 mL
Finally, use the density of gasoline to find the mass in grams:
0.737 g/mL × 46,494 mL = 34,270.138 g
Therefore, 34,270.138 grams of this particular brand of gasoline would be needed to fill the 12.3-gallon tank.