$\mathbf{1}\mathbf{.}\mathbf{16}\mathbf{\times}{\mathbf{10}}^{\mathbf{18}\mathbf{}}\overline{)\mathbf{He}\mathbf{}\mathbf{nuclei}}\mathbf{}\mathbf{\times}\frac{\mathbf{1}\mathbf{}\overline{)\mathbf{He}\mathbf{}\mathbf{atom}}}{\mathbf{1}\mathbf{}\overline{)\mathbf{He}\mathbf{}\mathbf{nuclei}}}\mathbf{\times}\frac{\mathbf{1}\mathbf{}\overline{)\mathbf{mol}\mathbf{}\mathbf{He}}}{\mathbf{6}\mathbf{.}\mathbf{022}\mathbf{\times}{\mathbf{10}}^{\mathbf{23}}\mathbf{}\overline{)\mathbf{He}\mathbf{}\mathbf{atom}}}$

**= 1.9263x10 ^{-6} mol**

As 1 g of the radioactive element radium decays over 1 year, it produces 1.16 × 10^{18} alpha particles (helium nuclei). Each alpha particle becomes an atom of helium gas. What is the pressure in pascal of the helium gas produced if it occupies a volume of 125 mL at a temperature of 25 °C?

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