Iow many moles of gas are contained in a compressed air tank for scuba diving that has a volume of 6.5 L and a pressure of 230 . atm at 23 . \( { }^{\circ} \mathrm{C} \) ? Be sure your nswer has the correct number of significant figures. Note: Reference the Fundamental constants table for additional information.

To determine the number of moles of gas in the scuba diving tank, you can use the Ideal Gas Law, which is \( PV = nRT \). Here, - \( P \) is pressure in atmospheres (230 atm), - \( V \) is volume in liters (6.5 L), - \( n \) is the number of moles, - \( R \) is the ideal gas constant (0.0821 L·atm/(K·mol)), - \( T \) is the temperature in Kelvin (23 °C + 273.15 = 296.15 K). Now, rearranging the Ideal Gas Law to solve for \( n \) gives us: \[ n = \frac{PV}{RT} \] Plugging in the values: \[ n = \frac{(230 \, \text{atm}) \cdot (6.5 \, \text{L})}{(0.0821 \, \text{L·atm/(K·mol)}) \cdot (296.15\, \text{K})} \approx \frac{1495}{24.475} \approx 61.00 \, \text{moles} \] Thus, the number of moles of gas in the tank is approximately **61.00 moles** (keeping three significant figures). Now you’re ready to take a deep breath, head underwater, and remember the science keeping you safe while diving!