The universal gas constant (R_{0}) is equal to (49,700 mathrm{ft}^{2} /left(mathrm{s}^{2} cdot{ }^{circ} mathrm{R} ight)), or (8310

The universal gas constant \(R_{0}\) is equal to \(49,700 \mathrm{ft}^{2} /\left(\mathrm{s}^{2} \cdot{ }^{\circ} \mathrm{R}\right)\), or \(8310 \mathrm{~m}^{2} /\left(\mathrm{s}^{2} \cdot \mathrm{K}\right)\). Show that these two magnitudes are equal.