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The mass of radium 226 having an activity of 1 curie is(T of radium 226 is 6000Y)

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R a^{226}

having an activity of 1 curie is (

T_{1 / 2}

R a^{226}

1622 y r

)

Q. The curie was originally intended to be the activity of one gram of radium-226. The actual weight of radium which is equal to one curie is (in gm)

T_{50}

(Radius-226) = 1620 years
One curie =

3.7 \times 10^{10}

disintegrations (of atoms) per second (dps)
One year =

3.154 \times 10^{7}

Q. Show that the mass of radium

(_{88} {R a}^{226})

with an activity of

1

curie is almost

1

T_{\frac{1}{2}} = 1600

1

= 3.7 \times 10^{10}

disintegrations per second].

Q. The half-life of ²²⁶Ra is 1602 y. Calculate the activity of 0.1 g of RaCl₂ in which all the radium is in the form of ²²⁶Ra. Taken atomic weight of Ra to be 226 g mol⁻¹ and that of Cl to be 35.5 g mol⁻¹.

Q. The curie was originally intended to be the activity of one gram of radium-226,

[T_{50} = 1620 a

,here 'a' stands for annum (year) in SI unit

]

. Calculate actual weight of radium which is equivalent to one curie.
given

1 a = 3.1536 \times 10^{7} s

- \frac{d N}{d t} = - λ N = - λ \frac{w}{A} N_{0}

Thus, w (mass of the radioactive substance) can be calculated.

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