A gas is stored in a 3.5L container at 15 degrees celsius and 655mmHg. Calculate the number of moles of the gas in the container
To calculate the number of moles of a gas in a container, we can use the ideal gas law equation: PV = nRT.
Let's break down the given information:
P = 655 mmHg (pressure)
V = 3.5 L (volume)
T = 15 degrees Celsius (temperature)
However, before we can use the ideal gas law equation, we need to convert the temperature to Kelvin, as the ideal gas law requires temperature to be in Kelvin. To convert Celsius to Kelvin, we add 273.15 to the Celsius value.
T = 15 + 273.15 = 288.15 K
Now, we can substitute the values into the ideal gas law equation:
PV = nRT
(655 mmHg)(3.5 L) = n(0.0821 L.atm/mol.K)(288.15 K)
To solve for n (number of moles), rearrange the equation:
n = (PV) / (RT)
Substituting the values:
n = (655 mmHg * 3.5 L) / (0.0821 L.atm/mol.K * 288.15 K)
n ≈ 0.938 moles
Therefore, there are approximately 0.938 moles of gas in the container.