General gas equation

As the air density depends on both the temperature and moisture content of the air, it is necessary to apply the general gas equation ... 

A The general gas equation is solved for volume, after the constant amount in moles is cancelled. Temperatures are converted to kelvin. 

B The total volume initially is 2.0 L + 8.0 L = 10.0 L. These two mixed ideal gases then obey the general gas equation as if they were one gas. 

If one replaces c with then a comparison of these two general gas equations will show ... 

Problem 1 What is the nature or significance of R in general gas equation PV = nRTl Calculate its value in different units. 

Nature or significance of gas constant R. From general gas equation,... 

When describing an experimental sample of say two moles of methane, it is only necessary to specify a certain minimum number of variables in order to describe the system completely. Thus temperature and pressure would be quite adequate, although we could substitute volume, or density for one of them. In fact any two would automatically fix the remainder. For an ideal gas this follows directly from the general gas equation ... 

If we may assume that the gas behaves ideally, the general gas equation, PV=nRT where n is the number of moles of gas, and R the universal gas constant can be used to simplify the measurements. 

Process air temperature should also be considered in process air assessments due to air volume expansion or contraction associated with temperature changes. Volume changes can be determined using the general gas equation ... 

Drying capacity is a measure of the process air capacity for evaporated solution vehicle. This capacity is dependent on the rate of air volume movement through the system, the temperature of that air, and the vapor pressure of the vehicle at that temperature. Figure 7.14 shows the relationship of air capacity and temperature for a variety of solvents. These data are based on vapor pressure data and the general gas equation noted previously in this chapter ... 

Mass, volume, mole and pressure (note that pressure is an intensive quantity) are linked in the general gas equation (which, however, is only valid for diluted mixtures, which is true when we consider traces in air), as seen in Eq. (4.14). We also can apply the gas law based on the partial quantities m = 2 m/, V = J, Vi, p = Ipi and n = Itii in two forms ... 

For an ideal gas, we can combine the laws about how the volume of a gas depends on temperature and pressure. We also know from page 18 that the volume of a gas is proportional to the number of moles present. Putting all these together, gives us the general gas equation ... 

If we know any four of the five physical quantities in the general gas equation, we can calculate the fifth. 

Step 2 Rearrange the general gas equation to the form you require ... 

Ideal Gas Equation and the General Gas Equation 6-8 Gas Properties Relating to the Kinetic-Molecular Theory... 

Expression (6.12) is called the general gas equation. It is often applied in cases in which one or two of the gas properties are held constant, and the equation can be simplified by eliminating these constants. For example, if a constant mass of gas is subject to changes in temperature, pressure, and volume, ftf and Uf cancel because they are equal (constant moles) thus we have... 

When confronted with a problem involving gases, students sometimes wonder which gas equation to use. Gas law problems can often be thought of in more than one way. When a problem involves a comparison of two gases or two states (initial and final) of a single gas, use the general gas equation (6.12) after eliminating any term (n,P,T,V) that remains constant. Otherwise, use the ideal gas equation (6.11). 

Applications of the Ideal Gas Equation 209 Applying the General Gas Equation... 

Identify the quantities in the general gas equation that remain constant. Cancel out these quantities and solve... 

Explain the important distinctions between (a) barometer and manometer (b) Celsius and Kelvin temperature (c) ideal gas equation and general gas equation (d) ideal gas and real gas. 

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