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Assuming the gold nugget is solid and pure (unlikely in real life!) The volume of the nugget is 77.0 - 50.0 mL = 27.0 mL So density = mass/volume = 521/27.0 = 19.3 g per mL.
Simply: Volume (V) is how much space an object takes up whereas density is how "compressed" an objects mass (m) is. Density = m/V Example: Imagine a ton of feathers and a ton of iron. They both have the same mass (weight) but they have different volumes and density.
Density = mass/volume = 167g/ (volume displaced) = 167g / (36mL - 20mL) = 167g/16mL = 10.4g/mL. Density is usually recorded in g/cm3 which is the same as g/mL so the density is 10.4g/cc. Also, to be extra correct, the answer should be rounded to 10g/cc because 16mL only has 2 significant figures so that is the number you report in your final answer.
The volume of the piece of metal is measured by the difference in the volume of water in the graduated cylinder before and after the piece of metal is placed in the cylinder. This is stated to be 36 - 20 = 16 mL. Density is defined to be mass per unit volume. Therefore, for this piece of metal the density is 163/16 = 10 g/mL. (Only two significant digits are justified, because the is the number of significant digits in the limiting datum 16.)
It is quite simple if it is a regular shaped object like a cylinder or a cube. For example if you wanted calculate the volume of a cylinder you need to know the radius of the circular cross-section of the cylinder - this is the measurement from the centre of the circle, to the outer-edge and then multiply that by the height of the cylinder. For irregular shaped objects don't think there is a simple mathematical way if you don't know the density but you can always use water displacement to get a volume measurement. Just drop the object you want to know the volume off into a graduated cylinder partially filled with water - the amount the level rises will be roughly equal to the volume of the object you dropped in.
Assuming the gold nugget is solid and pure (unlikely in real life!) The volume of the nugget is 77.0 - 50.0 mL = 27.0 mL So density = mass/volume = 521/27.0 = 19.3 g per mL.
The volume of the gold nugget can be calculated by finding the difference in volume before and after adding the nugget. The volume of the gold nugget is 225 mL (final volume) - 85 mL (initial volume) = 140 mL.
The volume of the gold nugget can be calculated by subtracting the final volume (225 ml) from the initial volume (80 ml) of water in the graduated cylinder. Therefore, the volume of the gold nugget is 145 ml.
The volume of the gold nugget is the difference between the final volume of water with the nugget and the initial volume of water without the nugget. Thus, the volume of the gold nugget is 255 mL - 80 mL = 175 mL.
The volume of the object is the difference in water level before and after the object is added, which is 10 ml (30 ml - 20 ml). The density of the object is mass divided by volume, so 2g / 10 ml = 0.2 g/ml. Therefore, the density of the object is 0.2 g/ml.
To determine whether the nugget is real gold or fool's gold, you can calculate its density. The density of gold is 19.32 g/cm3, while the density of fool's gold (iron pyrite) is about 5 g/cm3. Based on the displacement of water and the mass provided, calculate the density of the nugget using the formula: density = mass/volume. Compare the calculated density to the known densities of gold and fool's gold to identify the material.
first, you weigh it to get its mass. then you acquire its volume, since it has an irregular shape, you apply water displacement method. get a calibrated cylinder, note the initial water level and gently drop the potato in. measure the resulting water level and subtract it with the initial water level. this is your volume. density= mass/volume simply divide what you measured in grams with the volume of the potato (cm3). unit of density is grams per cubic centimeter or g/cm3
That would depend on the volume (density) of the 10kg object.
mass = 28.5 g volume = 49.10 ml - 45.50 ml = 3.60 ml density = mass / volume = 28.5 g / 3.60 ml ~= 7.92 g/ml 1 ml = 1 cu cm Therefore density of iron is approx 7.92 g/cm³
The volume of the ring can be calculated by subtracting the initial volume (5.0 mL) from the final volume (5.3 mL), which gives you 0.3 mL. Converting this volume to cm^3 gives 0.3 cm^3. Using the density of platinum (21 g/cm^3), you can find the mass of the ring by multiplying the volume and density, resulting in a mass of 6.3 grams.
mL is a measure of volume. gram is a measure of mass. The most common relationship between them is density, (density = mass/volume). Water has a density of 1 gm/mL. I litre of pure water at sea level weighs 1 Kilogram.
Density = (mass) divided by (volume). You must have known that at some level; otherwise, how did you decide that mass and volume were the things to measure, instead of, say, weight and temperature ?