Figure 1 shows a type of apparatus for investigating the speed distribution f(up

Question

Figure 1 shows a type of apparatus for investigating the speed distribution f(upsilon) of molecules in a gas. Molecules emerge into a vacuum chamber from an oven held at a constant temperature T, and are collimated by slits into a parallel beam directed towards a pair of discs rotating at a common angular speed omega, which may be varied. The discs are a fixed distance L apart (L = 262 mm) and contain narrow notches, with the second notch offset from the first by a fixed angle theta = 30degree as shown. If a molecule is moving at the correct speed upsilon, it will pass through the notches in both discs to be collected at the detector, which records the rate of arrival of molecules. Figure 1 For use with Question 1. Show that a molecule that passes the first slit will reach the detector if its speed is upsilon = omega L/theta The oven contains aluminium at 9. 00 times 102 degree C, which emerges as a monatomic beam. Calculate the speed upsilon mp and the corresponding rotation speed omega at which the largest rate of arrival for aluminium atoms is observed. (The molar mass of aluminium is 0. 0270 kg mol-1. ) The oven remains at 9. 00 times 102 degree C, but its contents are changed to silver, also emitted as a monatomic beam. Find the rotation speed omega at which the largest rate of arrival of silver atoms is observed. (The molar mass of silver is 0. 108 kg moH. ) By observing the rate of arrival of atoms as omega is changed, the form of f(upsilon) can be found. On a single graph, sketch the variation of f(upsilon) versus omega that you would observe for each metal and label the values of omega for the most probable speed upsilon mp in both cases. Can we determine any physical properties of the metals from the area under each curve?

Explanation / Answer

1 mole has 6.022*10^23 molecules calculate no of moles and multiply it with this no. to get molecules of gas

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