Answer:
The approximate volume of the gas is 14.8 L.
Step-by-step explanation:
To calculate the approximate volume of the gas, we can use the Ideal Gas Law, which relates the pressure, volume, temperature, and number of moles of a gas:
PV = nRT
where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant (0.08206 L·atm/(mol·K)), and T is the temperature in Kelvin.
First, we need to convert the temperature from Celsius to Kelvin by adding 273.15:
T = 15.0ºC + 273.15 = 288.15 K
Then, we can rearrange the Ideal Gas Law to solve for the volume:
V = (nRT) / P
Plugging in the given values:
V = (0.600 mol)(0.08206 L·atm/(mol·K))(288.15 K) / 0.63 atm
V ≈ 14.8 L
Therefore, the approximate volume of the gas is 14.8 L.