<u>Answer:</u> The half life of the sample of silver-112 is 3.303 hours.
<u>Explanation:</u>
All radioactive decay processes undergoes first order reaction.
To calculate the rate constant for first order reaction, we use the integrated rate law equation for first order, which is:
![k=\frac{2.303}{t}\log \frac{[A_o]}{[A]}](https://tex.z-dn.net/?f=k%3D%5Cfrac%7B2.303%7D%7Bt%7D%5Clog%20%5Cfrac%7B%5BA_o%5D%7D%7B%5BA%5D%7D)
where,
k = rate constant = ?
t = time taken = 1.52 hrs
![[A_o]](https://tex.z-dn.net/?f=%5BA_o%5D)
= Initial concentration of reactant = 100 g
[A] = Concentration of reactant left after time 't' = [100 - 27.3] = 72.7 g
Putting values in above equation, we get:
To calculate the half life period of first order reaction, we use the equation:
where,
= half life period of first order reaction = ?
k = rate constant = 
Putting values in above equation, we get:
Hence, the half life of the sample of silver-112 is 3.303 hours.
Answer:
9.2x10²g
Explanation:
Data obtained from the question include the following:
Density = 0.92g/ml
Volume = 1L = 1 x 1000 = 1000mL
Mass =..?
Density is simply defined as the mass of the substance per unit volume of the substance. Mathematically it can be represented as:
Density = Mass /volume.
Mass = Density x volume
Mass = 0.92 x 1000
Mass = 9.2x10²g.
Therefore, 1L of olive will weigh 9.2x10²g.
The reaction is
CaC₂(s) + 2H₂O (l) -----> Ca(OH)₂ (s) + C₂H₂ (g)
As we have data of gas ethyne (or acetylene), C₂H₂
We can calculate the moles of acetylene and from this we can estimate the mass of calcium carbide taken
the moles of acetylene will be calculated using ideal gas equation
PV =nRT
R = gas constant = 0.0821 Latm/molK
T = 385 K
V = volume = 550 L
P = Pressure = 1.25 atm
n = moles = ?
n = PV /RT = 1.25 X 550 / 0.0821 X 385 = 21.75 mol
As per balanced equation these moles of acetylene will be obtained from same moles of calcium carbide
moles of calcium carbide = 21.75mol
molar mass of CaC₂ = 40 + 24 = 64
mass of CaC₂ = moles X molar mass = 21.75 X 64 = 1392g
By studying seismic waves
Explanation:
Scientists discovered that the earth's outer core is liquid by simply studying seismic waves.
Seismic waves are elastic waves that have been used by geophysicists to study the earth's interior.
- Interior of the earth is inaccessible due to high pressure and temperature conditions therein.
- To study this part of the earth, an indirect method should be used.
- Seismic waves produced during an earthquake due to their permeating nature have been used to study the interior.
- Seismic P-waves can pass through any materials because they are longitudinal waves. They go through solids, liquids and gases.
- S-waves can only pass through solids and not fluids.
- On a seismograph, it was discovered that the S-waves were cut off in a part of the reading.
- The waves re-appeared after a distance.
- Since S-waves cannot pass through liquids, it has been hypothesized that the outer core is liquid.
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