Which ecological relationship is best represented by this graph?
2 answers:
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A. The radioactive decay equation is N = N0
where T is the half-life (5730 years), N0 is the number of atoms at time t = 0 and N is the number at time t.
Rewriting this as:
(N/N0) =
Since N = (1/8) N0 and substituting known values:
1/8 =
Taking ln of both sides:
ln(1/8)= -ln(2)*t/5730
t = - 5730 * ln(1/8) / ln (2)
t = 17,190 years
The tree was cut down 17,190 years ago.
B. N0 = 1,500,000 carbon-14 atoms
Since N = (1/8) N0
N = 187,500 carbon atoms left
Answer:
The gas will occupy a volume of 1.702 liters.
Explanation:
Let suppose that the gas behaves ideally. The equation of state for ideal gas is:
(1)
Where:
- Pressure, measured in kilopascals.
- Volume, measured in liters.
- Molar quantity, measured in moles.
- Temperature, measured in Kelvin.
- Ideal gas constant, measured in kilopascal-liters per mole-Kelvin.
We can simplify the equation by constructing the following relationship:
(2)
Where:
,
- Initial and final pressure, measured in kilopascals.
,
- Initial and final volume, measured in liters.
,
- Initial and final temperature, measured in Kelvin.
If we know that ,
,
,
and
, the final volume of the gas is:
The gas will occupy a volume of 1.702 liters.