Equation for Half life :
A = a(0.5)^(t/h)
A is current amount, "a" is initial amount, h is halflife, t is time
5 = 40(0.5)^(t/1.3x10^9)
5/40 = (0.5)^(t/1.3x10^9)
take the log of both sides , power rule
Log(5/40) = (t/1.3x10^9) * Log(0.5)
(1.3x10^9) * Log(5/40) / Log(0.5) = t
3.9x10^9 years = t
And if you think about what a half life is, the time it take for the amount to reduce to half.
40/2 = 20
20/2 = 10
10/2 = 5
It went through 3 half-lifes
3 * 1.3x10^9 = 3.9x10^9 years
In every molecule of

there is 8 atoms of Carbon.
IF we have 3.7 moles of

to find the number of moles of Carbon, just multiply by 8
3.7 * 8 = 29.6 mol Carbon
The mass number of an isotope can be expressed <span>by simply writing the name of the element or symbol followed by a hyphen and the mass number.
Example:
Carbon-13, Carbon-14
Oxygen-17
Uranium-235
</span>
Explanation:
According to Boyle's law, pressure of a gas is inversely proportional to its volume at constant temperature and moles.
Mathematically, P = 
where, k = proportionality constant
Also, formula for initial pressure and volume is as follows.

or, 
=
= 30 atm L
Now, we will calculate the value of
as follows.

= 
= 30 atm L
Hence, as
this means that it signifies that gas obeys boyle's law.