Use simple V = m / d V = m / d V = m / d volume equation.Ĭalculate the volume of a compressed gas in a cylinder applying ideal gas equation. This laboratory glassware can also be used to measure the volume of gas evolved from a chemical reaction.įind the volume of the gas, given its density and mass. In chemistry, a gas syringe is used to insert or withdraw a volume of a gas from a closed system. You'll find detailed instructions on the wikihow page.Ĭheck out the measures connected to your lung capacity by using a device called spirometer. Then you can use the Archimedes method - put the balloon into the bucket with water and check the volume difference. Inflate a balloon with the gas you want to measure (e.g., with helium to lift you up in the air). You need to remember that the volume of gas is influenced by temperature and pressure, and that gases expand to fill any container in which they're placed. We have to use more elaborate methods to measure the volume of a gas. So, if you want to measure an irregular object's volume, just follow Archimedes footsteps (though you can omit the naked race part): Legend says that Archimedes was so excited about this discovery that he popped out of his bathtub and ran naked through the streets of Syracuse. Knowing the irregular object volume and its weight, he could calculate the density and compare it with the density of pure gold. From this observation, he deduced that volume of water displaced must be equal to the volume of the part of his body he had submerged. The idea came to him when he was taking a bath - stepping into a bathtub, he noticed that the water level rose. If it's an irregular shape, you can try to do the very thing that caused Archimedes to shout the famous word Eureka! Probably you heard that story - Archimedes was asked to find out if the Hiero's crown is made from pure gold or just gold-plated - but without bending or destroying it. For a right triangular prism, the equation can be easily derived, as well as for a right rectangular prism, which is apparently the same shape as a box.įor regular three-dimensional objects, you can easily calculate the volume by taking measurements of its dimensions and applying the appropriate volume equation. Prism = π A h \pi Ah π A h, where A A A is a base area and h h h is the height. For a pyramid with a regular base, another equation may be used as well: Pyramid = ( n / 12 ) h s 2 cot ( π / n ) (n/12) h s^2 \cot(\pi/n) ( n /12 ) h s 2 cot ( π / n ), where n n n is a number of sides s s s of the base for a regular polygon. Pyramid = ( 1 / 3 ) A h (1/3)Ah ( 1/3 ) A h where A A A is a base area and h h h is the height. Rectangular solid (volume of a box) = l w h lwh lw h, where l l l is the length, w w w is the width and h h h is the height (a simple pool may serve as an example of such shape). Sphere = ( 4 / 3 ) π r 3 (4/3)\pi r^3 ( 4/3 ) π r 3, where r r r is the radius.Ĭylinder = π r 2 h \pi r^2h π r 2 h, where r r r is the radius and h h h is the height.Ĭone = ( 1 / 3 ) π r 2 h (1/3)\pi r^2h ( 1/3 ) π r 2 h, where r r r is the radius and h h h is the height. Here are the formulas for some of the most common shapes:Ĭube = s 3 s^3 s 3, where s s s is the length of the side. This does not yet include AV's latest tweaks (M3 above) - however the differences for most applications should be quite minor.There is no simple answer to this question, as it depends on the shape of the object in question. The other (written by A.V.) takes theĪ python version has now also been written by Matthew Partridge at Cranfield University. One takes volume fraction of glycerine as input. Further refinements from Andreas Volk to density of pure water, and the temperature-dependence of the contraction of the mixture. In both cases the fit was chosen to match data from Gregory (table 3 and 7) Andreas Volk pointed out that the density calculation can be made more accurate by (i) accounting for the volume contraction of the mixture (ii) adjusting the fit for the density of pure glycerine as a function of temperature. Thanks to Paul Debue for pointing this out. The mixture should use the glycerine fraction by VOLUME and not by mass. Density calculation has been changed: equation 25 in Cheng's paper to compute the density of I'd recommend reading the latter paper first. Kähler (2018) Experiments in Fluids 59 75. 47 3285-3288, with a number of adjustments (see below), which are described in Volk and
The calculation is based on the parameterisation in Cheng (2008) Ind. Calculate density and viscosity of glycerol/water mixturesĭynamic viscosity of mixture is :
0 kommentar(er)
