To calculate the volume of a gas, we can use the ideal gas law equation:
PV = nRT
Where: P = Pressure of the gas (in atmospheres) V = Volume of the gas (in liters) n = Number of moles of the gas R = Ideal gas constant (0.0821 L·atm/(mol·K)) T = Temperature of the gas (in Kelvin)
First, let's convert the given temperature from Celsius to Kelvin:
T(K) = T(C) + 273.15 T(K) = 25°C + 273.15 T(K) = 298.15 K
Now, we can rearrange the ideal gas law equation to solve for the volume:
V = (nRT) / P
Plugging in the given values:
V = (0.50 mol * 0.0821 L·atm/(mol·K) * 298.15 K) / 1.25 atm
V = 9.1136 L
Therefore, the volume of the container that can hold 0.50 mol of gas at 25°C and 1.25 ATM is approximately 9.11 liters.