1. The Ideal Gas Law
The ideal gas law is a fundamental equation in chemistry that describes the behavior of ideal gases. It's expressed as:
PV = nRT
Where:
* P is the pressure of the gas (in atmospheres, atm)
* V is the volume of the gas (in liters, L)
* n is the number of moles of gas
* R is the ideal gas constant (0.0821 L·atm/mol·K)
* T is the temperature of the gas (in Kelvin, K)
2. Solving for Pressure
We want to find the pressure (P), so we can rearrange the equation:
P = (nRT) / V
3. Plugging in the Values
* n = 4 moles
* R = 0.0821 L·atm/mol·K
* T = 308 K
* V = 50 L
4. Calculating the Pressure
P = (4 moles * 0.0821 L·atm/mol·K * 308 K) / 50 L
P ≈ 2.03 atm
Therefore, the pressure of 4 moles of helium in a 50 L tank at 308 K is approximately 2.03 atmospheres.
