The carbon-11 nuclide radioactively decays by positron emission. Write a balanced nuclear chemical equation that describes this process.

Sure, here is the balanced nuclear chemical equation for the radioactive decay of Carbon-11 by positron emission:

C¹¹ → B¹¹ + e⁺ + ν

Here's the step-by-step explanation:

1. Carbon-11 (C¹¹) is the parent nuclide that undergoes radioactive decay.

2. In positron emission, a proton in the nucleus is converted into a neutron, a positron (e⁺), and a neutrino (ν).

3. The positron is the antiparticle of the electron, with the same mass but opposite charge.

4. The neutrino is a particle that carries away energy but has no charge and virtually no mass.

5. The conversion of a proton to a neutron decreases the atomic number by 1, transforming the carbon into boron (B¹¹).

6. The mass number (the superscript) remains the same because the total number of protons and neutrons is conserved.

So, the balanced nuclear chemical equation for the radioactive decay of Carbon-11 by positron emission is C¹¹ → B¹¹ + e⁺ + ν.