An enclosed cylinder has 3 moles of gas with a volume of 60 L and a temperature of 400 K. What is the pressure inside the container? Round to the nearest tenth. Don't forget the units.
Use PV = nRT
To calculate the pressure inside the container, we can use the ideal gas law equation: PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.
Given:
Volume (V) = 60 L
Number of moles (n) = 3 moles
Temperature (T) = 400 K
Gas constant (R) is a constant value that depends on the units used. We will use the value 0.0821 L·atm/(mol·K) since we are using liters, moles, and Kelvin units.
Substituting the given values into the ideal gas law equation, we have:
P * 60 L = 3 moles * (0.0821 L·atm/(mol·K)) * 400 K
Simplifying the equation:
P * 60 = 3 * 0.0821 * 400
P * 60 = 29.748
Dividing both sides by 60:
P = 29.748 / 60
P ≈ 0.496 atm
So, the pressure inside the container is approximately 0.5 atm.