Answer:
Therefore, the amount of moles of gas present in the sample is 0.492 mol.
Step-by-step explanation:
To calculate the number of moles of gas present in the sample, we can use the Ideal Gas Law, which relates the pressure, volume, temperature, and number of moles of a gas:
PV = nRT
where
P = pressure (in atm)
V = volume (in L)
n = number of moles
R = the gas constant (0.08206 L atm / (mol K))
T = temperature (in Kelvin, K)
First, we need to convert the temperature of 25°C to Kelvin:
T = 25°C + 273.15 = 298.15 K
Now, we can rearrange the Ideal Gas Law to solve for the number of moles:
n = PV / RT
Substituting the given values, we get:
n = (12 atm) x (1 L) / (0.08206 L atm / (mol K) x 298.15 K)
Simplifying this expression, we get:
n = 0.492 mol