3 years ago

How does the arrangement of the particles in a gas compare to that of a solid

1 answer:

7 0

The particles of the gases are apart from each other and they are movingoing freely, However, in the solid the particles are very close to each other and there is no spaces between them,

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What is the half life of an atom that goes from 16000 g to 125 g in 163.24 days.

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Answer:

$23.32\ \text{days}$

Explanation:

N = Final mass of atom = 125 g

$N_0$ = Initial mass of atom = 16000 g

t = Time taken = 163.24 days

$t_{1/2}$ = Half life

We have the relation

$N=N_0\dfrac{1}{2}^{\dfrac{t}{t_{1/2}}}\\\Rightarrow 125=16000\times \dfrac{1}{2}^{\dfrac{163.24}{t_{1/2}}}\\\Rightarrow \dfrac{125}{16000}=\dfrac{1}{2}^{\dfrac{163.24}{t_{1/2}}}\\\Rightarrow \ln0.0078125=\dfrac{163.24}{t_{1/2}}\ln0.5\\\Rightarrow t_{1/2}=\dfrac{163.24\times\ln0.5}{\ln0.0078125}\\\Rightarrow t_{1/2}=23.32\ \text{days}$

The half life of the atom is $23.32\ \text{days}$ .

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