Explanation:
Expression for the kinetic energy is as follows.
K.E =
Now, total kinetic energy will be as follows.
K.E =
=
Since, this energy converts into electromagnetic radiation of wavelength 121.6 nm.
Relation between energy and photon is as follows.
Energy of photon =
=
=
v =
=
m/s
Thus, we can conclude that atoms were moving at a speed of
m/s before the collision.
The actual yield is 43 g Cl₂.
The <em>limiting reactant was MnO₂</em> because it gave the smaller mass of Cl₂.
∴ The <em>theoretical yield</em> is 60.25 g Cl₂.
% yield = actual yield/theoretical yield × 100 %
Actual yield = theoretical yield × (% yield/100 %) = 60.25 g × (72 %/100%) = 43 g
The age of the fossil given the present amount of Carbon-14 is given in the equation,
A(t) = A(o)(0.5)^t/h
where A(t) is the current amount, A(o) is the initial amount, t is time and h is the half-life. Substituting the known values to the equation,
A(t) / A(o) = 0.125 = (0.5)^(t/5730)
The value of t from the equation is 17190.
Thus, the age of the fossil is mostly likely to be 17190 years old.