The half-life of the substance is 3.106 years.
<h3>What is the formula for exponential decay?</h3>
- The exponential decline, which is a rapid reduction over time, can be calculated with the use of the exponential decay formula.
- The exponential decay formula is used to determine population decay, half-life, radioactivity decay, and other phenomena.
- The general form is F(x) = a.
Here,
a = the initial amount of substance
1-r is the decay rate
x = time span
The equation is given in its correct form as follows:
a = 
×
As this is an exponential decay of a first order reaction, t is an exponent of 0.8.
Now let's figure out the half life. Since the amount left is half of the initial amount at time t, that is when:
a = 0.5 a0
<h3>Substituting this into the equation:</h3>
0.5 = ×
0.5 =
taking log on both sides
t log 0.8 = log 0.5
t = log 0.5/log 0.8
t = 3.106 years
The half-life of the substance is 3.106 years.
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Answer:
0.2990
Explanation:
All liquids intend to vaporize independent of the temperature if the pressure is higher enough. This pressure is called the vapor pressure. When it occurs, the liquid and the vapor phases will be in equilibrium, and so the fractions of the components of the liquids and the vapor can be calculated.
The molar fraction of the liquid (x) can be calculated by the composition, so, calling xc for cyclohexane, and ca for acetone:
xc = 1.90/(1.90 + 2.60) = 0.4222
xa = 1 - 0.4222 = 0.5778
The total pressure of the system (P) can be calculated by Dalton's Law:
P = Pc + Pa
Where Pc and Pa are the partial pressures of the components. The partial pressures can be calculated by the Raoult's Law:
Pc = xc*P°c
Pa = xa*P°a
Where P° is the vapor pressure, so:
P = xc*P°c + xa*P°a
P = 0.4222*97.6 + 0.5778*229.5
P = 137.8 torr
The molar fraction at the vapor phase (y) is the partial pressure divided by the total pressure:
yc = Pc/P
yc = (xc*P°c)/P
yc = (0.4222*97.6)/137.8
yc = 0.2990
This is an irreversible change.
When the material heated, it turns into black and producing gas. This indicates that there is a chemical reaction occurs that creates a new black-colored material and gas material. A chemical reaction is one of irreversible change.
Answer:
K₂SO₄ + Pb(C₂H₃O₂)₂ →PbSO₄ + 2KC₂H₃O₂
