A 2.8-L engine in a vehicle with air-conditioning uses 26.5-L of coolant. If the coolant has a density of 1.11 g/ml, what mass does the coolant add to the vehicle?
Use density to find the mass
Density * Volume = Mass of Coolant
Make sure to convert 26.5 to ml or take 1.11 g/ml to 1.11 g/L.
Mass = Density x Volume
M=1.11g/cm^3 x 26.5 liters
Mass = 29.425 Kg
To find the mass of the coolant, we need to use the formula:
Mass = Density x Volume
First, we need to convert the engine capacity and coolant volume to liters, since the density is given in grams per milliliter.
The engine capacity is already given in liters, so we can keep it as 2.8 L.
To convert the coolant volume:
26.5 L * 1000 ml/L = 26500 ml
Next, plug in the values into the formula:
Mass = Density x Volume
Mass = 1.11 g/ml x 26500 ml
To calculate the answer, multiply the density by the volume:
Mass = 1.11 g/ml * 26500 ml
Mass = 29315 g
Therefore, the coolant adds a mass of 29315 grams to the vehicle.