Final answer:
To find the space occupied by 2.34 lbs of aluminum, we convert the mass to grams and use the density. The volume is 393.98 ml. To find the weight of 1.78 L of aluminum, we convert the volume to milliliters and use the density. The weight is 4818 g.
Step-by-step explanation:
To find out how much space 2.34 lbs of aluminum takes up, we need to convert the mass from lbs to grams. Since 1 lb equals 453.592 grams, 2.34 lbs is equivalent to 1061.76 grams. Now, we can use the density of aluminum to find the volume. The density of aluminum is 2.70 g/ml. To convert grams to milliliters, we divide the mass by the density: 1061.76 g / 2.70 g/ml = 393.98 ml.
To find out how much aluminum weighs if we have 1.78 L of it, we use the same concept but in reverse. We can convert liters to milliliters by multiplying by 1000: 1.78 L * 1000 ml/L = 1780 ml. Now, we can use the density of aluminum to find the mass. The density of aluminum is 2.70 g/ml. To convert milliliters to grams, we multiply the volume by the density: 1780 ml * 2.70 g/ml = 4818 g.