Boyle’s law At constant temperature

Boyle s law At constant temperature the volume of a given mass of gas is inversely proportional to the pressure. Although exact at low pressures, the law is not accurately obeyed at high pressures because of the finite size of molecules and the existence of intermolecular forces. See van der Waals equation. 

Boyle s Law. At constant temperature (T), the volume (V) of a fixed mass of an ideal gas is inversely proportional to the absolute pressure (P). That is,... 

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

Boyle s Law (at constant temperature) The volume of a gas (maintained at constant temperature) decreases as its pressure increases (P alA ) ... 

Boyle s law at constant temperature the volume V occupied by a given number of moles of gas varies in inverse proportion to the pressure p. That is to say... 

Boyle s Law At constant temperature, the volume occupied by a given mass of a gas is inversely proportional to the applied pressure. 

Conclusion and statement of the law. The generalization of Boyle s observations is known as Boyle s law at constant temperature, the volume occupied by a fixed amount of gas is inversely proportional to the applied (external) pressure, or... 

Ideal or perfect gases obey Boyle s law at all temperatures. This fact was established by Boyle and Mariotte in 1662. According to this law, the product of P and V is constant for a given mass of gas at a constant temperature, where P is the pressure of the gas and V is its volume. 

Alveolar pressure (Palv) is the pressure within the alveoli. In between breaths, it is equal to 0 cmH20. Because no pressure gradient exists between the atmosphere and the alveoli, there is no airflow. However, in order for air to flow into the lungs, alveolar pressure must fall below atmospheric pressure. In other words, alveolar pressure becomes slightly negative. According to Boyle s law, at a constant temperature, the volume of a gas and its pressure are inversely related ... 

For an ideal gas flowing through a column or channel we have modified Boyle s law, pV= constant, to the form p(v) = constant. Prove that this modification is valid at constant temperature under steady flow conditions using the general flux expression (Eq. 3.14) in the form... 

Boyle s law, PV = constant, which states that for a given mass at fixed temperature the pressure (P) times the volume (V) of a gas is a constant ... 

As was the case with Boyle s law, the constant k takes the same value at all temperatures if the quantity of gas and its pressure remain constant. Therefore, we can compare the properties of a sample of gas at two different temperatures by noting that... 

Here fC is a constant whose value depends on the temperature and on the nature of the gas. The law holds strictly only for ideal gases. Real gases follow Boyle s law at low pressures and high temperatures. See gas laws. 

Boyle s Law At a constant temperature, the pressure exerted by a gas depends on the frequency of collisions between gas particles and the container. If the same number of particles is squeezed into a smaller space, the frequency of collisions increases, thereby increasing the pressure. Thus, Boyle s law states that at constant temperature, the pressure and volume of a gas are inversely related. In mathematical terms, this law is expressed as follows. 

According to Boyle s law, pressure of a gas is inversely proportional to the volume, if the temperature is held constant. For example, 2 ft at 4 psi would exert only 1 psi if allowed to expand 8 ft. ... 

Boyle s Law states that, for an ideal gas, the product of pressure and volume at constant temperature is a constant ... 

FIGURE 4.8 Boyle s law summarizes the effect of pressure on the volume of a fixed amount of gas at constant temperature. As the pressure of a gas sample is increased, the volume of the gas decreases. 

Boyle s law For a fixed amount of gas at constant temperature, volume is inversely proportional to pressure. 

The entropy change accompanying the isothermal compression or expansion of an ideal gas can be expressed in terms of its initial and final pressures. To do so, we use the ideal gas law—specifically, Boyle s law—to express the ratio of volumes in Eq. 3 in terms of the ratio of the initial and final pressures. Because pressure is inversely proportional to volume (Boyle s law), we know that at constant temperature V2/Vj = E /E2 where l is the initial pressure and P2 is the final pressure. Therefore,... 

Boyle s law states that the volume of a fixed amount of gas at a constant temperature is inversely proportional to the pressure, provided the temperature does not change. It has been observed that, at a constant temperature, doubling the pressure on a sample of gas reduces the volume by one-half. Conversely, halving the pressure on a sample of gas results in a doubling of the volume. 

In Boyle s work the pressure was subsequently plotted as a function of the reciprocal of the volume, as calculated here in the third column of Thble 1. The graph of P vs. l/V is shown in Fig. lb. This result provided convincing evidence of the relation given by Eq. (3), the mathematical statement of Boyle s law. Clearly, the slope of the straight tine given in Fig. 1 b yields a value of C(T) at die temperature of the measurements [Eq. (3)] and hence a value of the gas constant 17. However, the significance of the temperature was not understood at the time of Boyle s observations. 

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