you have a metal tank containing 74.0moles of nitrogen gas at a pressure of 15.0atm.If the pressure is measured at a temperature of 20.0c,then the volume of the tank must be how many liters(Round answer to one decimal place.

PV = nRT

To find the volume of the tank, we can use the ideal gas law equation:

PV = nRT

Where:
P = Pressure (in atm)
V = Volume (in liters)
n = Number of moles
R = Gas constant (0.0821 L·atm/(mol·K))
T = Temperature (in Kelvin)

First, we need to convert the temperature from Celsius to Kelvin by adding 273.15:

T = 20.0°C + 273.15 = 293.15 K

Now, we can substitute the given values into the ideal gas law equation:

(15.0 atm) * V = (74.0 mol) * (0.0821 L·atm/(mol·K)) * (293.15 K)

Simplifying the equation:

15V = 1807.057 L·atm

Dividing both sides by 15.0:

V = 120.47 L

Rounding the answer to one decimal place, the volume of the tank is approximately 120.5 liters.