(a) What is the mass of a silver cube whose edges measure 2.00 \(\mathrm{cm}\) each at \(25^{\circ} \mathrm{C} ?\) The density of silver is $10.49 \mathrm{~g} / \mathrm{cm}^{3}\( at \)25^{\circ} \mathrm{C}$. (b) The density of aluminum is \(2.70 \mathrm{~g} / \mathrm{cm}^{3}\) at \(25^{\circ} \mathrm{C}\). What is the weight of the aluminum foil with an area of \(0.5 \mathrm{~m}^{2}\) and a thickness of \(0.5 \mathrm{~mm} ?\) (c) The density of hexane is \(0.655 \mathrm{~g} / \mathrm{mL}\) at $25^{\circ} \mathrm{C} .\( Calculate the mass of \)1.5 \mathrm{~L}$ of hexane at this temperature.

We're given the edge length of the silver cube, and we know that the volume of a cube can be calculated using the formula: Volume = edge_length³. First, calculate the volume of the silver cube: Edge length = 2.00 cm Volume of the cube = (2.00 cm)³ = 8.00 cm³ Now, we can use the given density to find the mass. Density is the ratio of mass to volume, so we have: Density = Mass / Volume Solving for mass, we get: Mass = Density * Volume Now, plug in the density of silver (10.49 g/cm³) and the volume (8.00 cm³) and calculate the mass: Mass = (10.49 g/cm³) * (8.00 cm³) = 83.92 g

First, we need to convert the area and thickness of the aluminum foil into cm: Area = 0.5 m² = 5000 cm² Thickness = 0.5 mm = 0.05 cm Now, find the volume of the aluminum foil by multiplying its area by its thickness: Volume of the foil = Area * Thickness = 5000 cm² * 0.05 cm = 250 cm³ Now, we can use the given density to find the mass of the aluminum foil. Using the same equation as before, plug in the density of aluminum (2.70 g/cm³) and the volume (250 cm³) and calculate the mass: Mass = (2.70 g/cm³) * (250 cm³) = 675 g Now, we convert the mass to weight. Recall that weight is the force exerted on an object due to gravity, and it can be calculated using the equation: Weight = Mass * gravity, where gravity is approximately 9.8 m/s². First, convert the mass from grams to kilograms: Mass = 675 g = 0.675 kg Now, calculate the weight: Weight = (0.675 kg) * (9.8 m/s²) = 6.615 N

Given the volume of hexane, 1.5 L, first convert it to mL: Volume = 1.5 L = 1500 mL Now, using the given density, we'll find the mass of hexane. Again, using the Density = Mass / Volume equation and solving for the mass: Mass = Density * Volume Plug in the density of hexane (0.655 g/mL) and the volume (1500 mL) and calculate the mass: Mass = (0.655 g/mL) * (1500 mL) = 982.5 g