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# Density

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### Density

1. 1. Density <br />
2. 2. Density is defined as the mass in a unit of volume.<br />Density<br />
3. 3. In the SI unit system, mass is measured in kg and volume is measured in m3, thus, the unit of density is kg/m3 (kilogram per cubic meter). But this is inconvenient for most substances, therefore, g/cm3 (gram per cubic centimeter) is a more common unit of density.<br />Unit of Density<br />
4. 4. Density is a characteristic property of matter. We can differentiate substances by using their densities.<br />
5. 5. Examples:<br />
6. 6. How to manipulate the formula<br />
7. 7. In order to calculate the density of an object, first we measure its mass with a scale, then we find its volume by measuring it with a ruler, if it has a regular shape. Otherwise we use the graduated cylinder method for irregular objects, and liquids. Then, by dividing mass by volume, we find the density of the object.<br />How can we calculate the density of an object?<br />
8. 8. What is the volume of 24 tons of cement? (dcement = 3000 kg/m3)<br />Calculate the mass of copper having the same volume as 31,5 g of silver. Use Table 1.7.<br />
9. 9. A bottle has a mass of 70 g when it is empty, 90 g when it is full of water and 96 g when it is full of a liquid. What is the density of the liquid in g/cm3 and kg/m3 ?<br />
10. 10. Calculate the mass of air (at 0° C) in a room having dimensions of 3 m, 6 m, 5 m. See Table 1.7.<br />
11. 11. Density of a mixture<br />The density of a mixture is found by dividing the total mass of the mixture by its total volume.<br />
12. 12.
13. 13. 1.3 kg of a liquid and 2 kg of water are mixed in a container. Find the density of the mixture. Take dliquid = 1.3 g/cm3 and dwater = 1 g/cm3.<br />
14. 14. Two different substances of volumes 200 cm3 and 300 cm3 are mixed to make an alloy. If their densities are 1.2 g/cm3 and 1.6 g/cm3 respectively, find the density of the alloy.<br />
15. 15. Time<br />One complete rotation of earth around its axis is called one day. It is equal to 24 hours (h), 1 hour is 60 minutes (min) and 1 minute is 60 seconds (s). The unit of time is the second. A stopwatch or clock is used to measure time.<br />
16. 16. What is the equivalent of one week in terms of hours, minutes and seconds?<br />