You have a metal tank containing 74.0 moles of nitrogen gas at a pressure of 15.0 atm. If the pressure is measured at a temperature of 25.0 °C, then the volume of the tank must be ___ liters. (Round your answer to one decimal place and do not include units with the number.)

To solve this problem, we need to use the ideal gas law equation, which is:

PV = nRT

Where:
P = pressure (in atm)
V = volume (in liters)
n = number of moles
R = ideal gas constant (0.0821 L atm/(mol K))
T = temperature (in Kelvin)

First, let's convert the temperature from Celsius to Kelvin using the formula:

T(K) = T(°C) + 273.15

T(K) = 25 + 273.15
T(K) = 298.15K

Now, we can rearrange the ideal gas law equation to solve for volume:

V = (nRT) / P

V = (74.0 moles * 0.0821 L atm/(mol K) * 298.15K) / 15.0 atm

V ≈ 12.359 L

Therefore, the volume of the tank is approximately 12.4 liters.

PV = nRT

You have P, n, R and T (change to kelvin). Solve for V in liters.