Boyle s law The volume of a given sample

Boyle s law the volume of a given sample of gas at constant temperature varies inversely with the pressure. (5.2)... 

Boyle s law the volume of a given sample of gas at constant temperature varies inversely with the pressure. (5.2) Breeder reactor a nuclear reactor in which fissionable fuel is produced while the reactor runs. (20.6) Bronsted-Lowry definition (model) a model proposing that an acid is a proton donoi and a hase is a proton acceptor (7.1)... 

Boyle s law the volume of a sample of gas at a given temperature varies inversely with the applied pressure. (5.2) Br0nsted-Lowry concept a concept of acids and bases in which an acid is the species donating a proton in a proton-transfer reaction, whereas a base is the species accepting a proton in such a reaction. (4.4 and 16.2)... 

Robert Boyle (1627-1691), an Irish physical scientist, discovered that the volume of a given sample of a gas at a constant temperature is inversely proportional to its pressure. This generalization, known as Boyle s law, applies approximately to any gas, no matter what its composition. (It does not apply to liquids or solids.)... 

Boyle s law At constant temperature, and for a given sample of gas, the volume is inversely proportional to the pressure P 1/V. 

You are given the initial and final volumes and the initial pressure of a sample of helium. Boyle s law states that as volume decreases, pressure increases if temperature remains constant. Because the volume in this problem Is decreasing, the pressure will increase. So the initial pressure should be multiplied by a volume ratio greater than one. 

It is often easier to visualize the relationships between two properties if we make a graph. Figure 13.4 uses the data given in Table 13.1 to show how pressure is related to volume. This graph shows that V decreases as P increases. When this type of relationship exists, we say that volume and pressure are inversely proportional when one increases, the other decreases. Boyle s law is illustrated by the gas samples below. 

These two mathematical formulas say the same thing if the pressure on a sample of gas is increased, the volume of the sample will decrease. A graph of Boyle s law data is given as Figure 13.5 this type of graph xy = k) is known to mathematicians as a hyperbola. 

In the seventeenth century, Robert Boyle studied the behavior of gases systematically and quantitatively. In one series of studies, Boyle investigated the pressure-volume relationship of a gas sample. Typical data collected by Boyle are shown in Table 5.2. Note that as the pressure (P) is increased at constant temperature, the volume (V) occupied by a given amount of gas decreases. Compare the first data point with a pressure of 724 mmHg and a volume of 1.50 (in arbitrary unit) to the last data point with a pressure of 2250 mmHg and a volume of 0.58. Clearly there is an inverse relationship between pressure and volume of a gas at constant temperature. As the pressure is increased, the volume occupied by the gas dcCTcases. Conversely, if the applied pressure is decreased, the volume the gas occupies increases. This relationship is now known as Boyle s law, which states that the pressure of a fixed amount of gas at a constant temperature is inversely proportional to the volume of the gas. 

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