An atom of helium has a radius = and an average speed in the gas phase at of . . Suppose the speed of a helium atom at has been measured to within . Calculate the smallest possible length of box inside of which the atom could be known to be located with certainty. Write your answer as a multiple of and round it to significant figures. For example, if the smallest box the atom could be in turns out to be times the radius of an atom of helium, you would enter "" as your answer.

Given that:

 m/s

Heisenberg uncertainty principle:

It states that the position and the velocity of an object cannot both be measured exactly, at the same time, even in theory.

Heisenberg uncertainty principle can be stated as:

Δx Δp ≥

Or

Δx mΔv  ≥ .......... (i)

On substituting the values in equation (i)

Δx =

In terms of (radius of Neon) i.e.

Δx =

Therefore the smallest possible length of the box inside in which the atom could be known for locating with certainty is

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Explanation:

Given that

Speed of neon = 350 m/s

Un-certainity in speed= (0.01 ÷ 100) × 350

= 0.035 m/s

As per heisenberg uncertainty principle

 ....... (i)

substituting the values in equation (i)

In terms of rNe i.e 38 pm =

Therefore the smallest possible length of the box inside in which the atom could be known for locating with certainty is

  the   balanced   equation   for   reaction of   ca metal   with   o2 to   produce   cao   is as below

2 ca+ o2→ 2 cao2

  explanation

the reaction is   balanced     since the   number of atoms   in reactant side is   equal to   number of atoms   in   product side.   for   example   they   are 2   atom of   ca in   reactant   side   and   2   atoms of ca   in   the product side.

  the   process   is a   meet the   requirement   of   redox   reaction because :     calcium   is   oxidized   from   oxidation state 0   to 2+   while   oxygen   is reduced from   oxidation   state   0   to 2-