Explanation:
Natural transmutation is the spontaneous disintegration of a heavy nuclide into lighter ones or fusion of lighter nuclides into heavier ones. These processes occurs naturally without anything inducing them. Nuclear fission of light elements in the core of stars is an example of natural transmutation.
- Typically, all nuclei with atomic number greater than 83 are naturally radioactive.
²³⁸₉₂U → ²³⁴₉₂Th + ⁴₂He
In artificial transmutation, nuclear reactions are initiated through the collision of a nuclide with a high speed particle. Here, unstable nuclei are produced artificially in nuclear reactions. Such unstable nuclei also produce radiations.
¹₀n + ²³₁₁Na → ²⁴₁₁Na + γ
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It’s b make contact with the heat source
The hallogens chloride with br
55.9 kPa; Variables given = volume (V), moles (n), temperature (T)
We must calculate <em>p</em> from <em>V, n</em>, and <em>T</em>, so we use <em>the Ideal Gas Law</em>:
<em>pV = nRT</em>
Solve for <em>p</em>: <em>p = nRT/V</em>
R = 8.314 kPa.L.K^(-1).mol^(-1)
<em>T</em> = (265 + 273.15) K = 538.15 K
<em>V</em> = 500.0 mL = 0.5000 L
∴ <em>p</em> = [6.25 x 10^(-3) mol x 8.314 kPa·L·K^(-1)·mol^(-1) x 538.15 K]/(0.5000 L) = 55.9 kPa
In this reaction 50% of the compound decompose in 10.5 min thus, it is half life of the reaction and denoted by symbol
.
(a) For first order reaction, rate constant and half life time are related to each other as follows:

Thus, rate constant of the reaction is
.
(b) Rate equation for first order reaction is as follows:
![k=\frac{2.303}{t_{1/2}}log\frac{[A_{0}]}{[A_{t}]}](https://tex.z-dn.net/?f=k%3D%5Cfrac%7B2.303%7D%7Bt_%7B1%2F2%7D%7Dlog%5Cfrac%7B%5BA_%7B0%7D%5D%7D%7B%5BA_%7Bt%7D%5D%7D)
now, 75% of the compound is decomposed, if initial concentration
is 100 then concentration at time t
will be 100-75=25.
Putting the values,

On rearranging,

Thus, time required for 75% decomposition is 21 min.