So, what is the easiest way? Simply use Equation 4.11 to make a ratio of the variables before and after this gives us Equation 4.12. We could also go back to Boyle’s Law and Charles’s Law if we were changing only one variable, but due to thermodynamic effects we will discuss in the next chapter, the temperature of a system will usually change whenever the pressure changes.
In addition, it also involves looking up and confirming one of the gas constants previously described even if they have been memorized. However, most of the time not all of the variables are known for this method or it involves a lot of unnecessary arithmetic. The most obvious is to “plug” all of the numbers into the equation each time there is a change and “turn the crank” to calculate a new volume or pressure, or whatever is unknown. There are several ways that Equation 4.11 can be used. Hint: What was the number of significant figures in the mass of methane? This result is expressed in only 3 digits, although it can be calculated to more. The molecular weight of methane is about 16.04, which is composed of one atom of carbon with an atomic mass of 12.00 amu and 4 atoms of hydrogen with atomic masses of 1.01 amu:Ĭhecking for dimensional consistency, we see that lb mol cancels with lb mol, atm cancels with atm, and °R cancels with °R, leaving only ft 3, which is the appropriate unit for our answer of 18.5 cubic feet. Finally, we can substitute the values previously determined into the rewritten equation to calculate the volume.Īs outlined above, we must calculate the number of pound moles in 11.0 lbs of methane. Fifth, we must select the appropriate ideal gas constant and use it with a rewritten form of Equation 4.11 to determine the volume of 11.0 lbs of methane gas. Third, we must convert temperature in degrees Fahrenheit into absolute degrees Rankin and, fourth, convert pressure from psig into psia.
In a second step, after establishing a basis, we must convert the mass of methane that will be the basis into pound moles. First, we must determine the question, which is to calculate the volume of a quantity of gas at a given temperature and pressure. There are several steps involved in this calculation. 2 8 c m.Example 4.2 Volume of 11.0 Pounds of Methane at 80☏ and 200 psigĬalculate the volume of 11.0 lbs of methane gas at 200 psig pressure and 80☏. The volume of a cylinder formula is given by:Ĭ y l i n d e r V o l u m e = π r 2 h \mathbf 6. The volume of the cylinder, on the other hand, is the space that matter (solid, liquid or gas) would occupy in a given cylindrical container. On the other hand, the example for conventional cylindrical dimensions would be a cylindrical candy without hollow surface. This pipe has hollow cylindrical dimensions. To give you a visual example, consider a metal pipe for water. What is the volume of a cylinderĪ cylinder is a 3-dimensional tube with a particular length, height and area of cross-section. Whether you need to estimate the amount of water that fits in a can, tea in a mug and similar stuff, this gizmo would calculate it all. This cylinder volume calculator allows you to determine the volume of a cylinder.
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