Physics, 23.08.2019 17:10, idunno456

Consider a 200 g sample of u-238 with decay constant 2.951x10^-16 min^1. approximately how many disintegrations will occur per minute?

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answered: tylerbesson1

The disintegrations is $5.902\times10^{-17}\ decay /min$ .

Explanation:

Given that,

Weight of sample = 200 g

Decay constant $\lambda=2.951\times10^{-16}\ min^{-1}$

We need to calculate the disintegrations

Using formula of disintegrations

$\dfrac{dN}{dt}=\lambda N$

Where, $\lambda$ = decay constant

N = number of atoms present at time t

Put the value into the formula

$\dfrac{dN}{dt}=2.951\times10^{-16}\times200\times10^{-3}$

$\dfrac{dN}{dt}=5.902\times10^{-17}\ decay /min$

Hence, The disintegrations is $5.902\times10^{-17}\ decay /min$ .

answered: Guest

answer: the correct answer is 1.

explanation: there are various process in which a radioactive nuclei decays:

1) alpha decay: in this process, a heavier nuclei decays into lighter nuclei by releasing alpha particle. the mass number is reduced by 4 units.

$_a^z\textrm{x}\rightarrow _{a-2}^{z-4}+_2^4\alpha$

2) electron capture: in this decay process, a parent nuclei absorbs an electron and gets converted into a neutron. simply, a proton and an electron combines together to form a neutron. mass number does not change in this process.

$_a^z\textrm{x}+_{-1}^0\textrm{e}\rightarrow _{z-1}^a\textrm{y}$

3) gamma ray emission: it is a decay process in which an unstable nuclei gives excess energy by a spontaneous electromagnetic process. this decay releases $\gamma -radiations$ . this process does not change the mass number.

$_a^z\textrm{x}^*\rightarrow _a^z\textrm{x}+_0^0\gamma$

4) positron emission: it is a type of decay process, in which a proton gets converted to neutron and an electron neutrino. this is also known as $\beta ^+$ -decay. in this the mass number remains same.

$_a^z\textrm{x}\rightarrow _{z-1}^a\textrm{y}+_{+1}^0e$

from the above information, we see that only alpha-decay is producing a change in the mass number of the nucleus.

answered: Guest

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