(Ideal Gas Law) Calculate the volume of a 0.25 mole sample of gas

at 25.0 degreeC and a pressure of 1.50 atm (R= 0.0821)

PV = nRT

To calculate the volume of a gas using the Ideal Gas Law, you can use the formula:

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, we need to convert the temperature from Celsius to Kelvin:

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

Next, we can substitute the given values into the formula and solve for V:

(1.50 atm) * V = (0.25 mol) * (0.0821 L·atm/(mol·K)) * (298.15 K)

To find V, divide both sides of the equation by 1.50 atm:

V = (0.25 mol) * (0.0821 L·atm/(mol·K)) * (298.15 K) / 1.50 atm

V ≈ 3.92 liters

Therefore, the volume of the gas sample is approximately 3.92 liters.