Phosphorus- 32 is used in the form of Na2 H^32 PO4 in the treatment of chronic myeloid leukemia.

step 1 Okay, so for this question, they are telling us that phosphorus 32 forms a new element by emitti

Phosphorus- 32 is used in the form of Na2 H^32 PO4 in the...

Phosphorus- 32 is used in the form of $\mathrm{Na}_{2} \mathrm{H}^{32} \mathrm{PO}_{4}$ in the treatment of chronic myeloid leukemia. (a) The isotope decays by emitting a $\beta$ particle. Write a balanced equation to show this process. (b) The half-life of ${ }^{32} \mathrm{P}$ is 14.3 days. If you begin with $9.6 \mathrm{mg}$ radioactive $\mathrm{Na}_{2} \mathrm{H}^{32} \mathrm{PO}_{4},$ calculate what mass (mg) remains after 28.6 days.

Phosphorus- 32 is used in the form of $\mathrm{Na}_{2} \mathrm{H}^{32} \mathrm{PO}_{4}$ in the treatment of chronic myeloid leukemia.
(a) The isotope decays by emitting a $\beta$ particle. Write a balanced equation to show this process.
(b) The half-life of ${ }^{32} \mathrm{P}$ is 14.3 days. If you begin with $9.6 \mathrm{mg}$ radioactive $\mathrm{Na}_{2} \mathrm{H}^{32} \mathrm{PO}_{4},$ calculate what mass (mg) remains after 28.6 days.

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Key Concepts

Half-Life

The half-life of a radioactive isotope is the time required for half of the nuclei in a sample to decay. It is a characteristic property of the isotope that quantifies the rate of decay, and it is crucial for calculating the remaining quantity of a substance over time.

Radioactive Decay Calculation

Radioactive decay calculation involves using the exponential decay formula, N = N?*(1/2)^(t/T), where N? is the initial quantity, t is the elapsed time, and T is the half-life. This method is used to determine how much of a radioactive substance remains after a specified period.

Beta Decay

Beta decay is a type of radioactive decay in which a neutron in an unstable nucleus is converted into a proton, with the emission of a beta particle (an electron) and an antineutrino. This process increases the atomic number by one while leaving the mass number unchanged, leading to the transmutation of an element.

Balanced Nuclear Equation

A balanced nuclear equation represents the transformation of one nucleus into another with the conservation of mass number and atomic number. In beta decay, the equation must accurately account for the emitted beta particle, ensuring that the sum of the nucleons and the total charge is conserved.

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