Answer :
To calculate the number of moles of an unknown gas, use the Ideal Gas Law with the given pressure, volume, and temperature. After converting the temperature to Kelvin and plugging the values into the equation, we find that there are 4.46 moles of the gas.
To find out how many moles of gas are present under the given conditions of pressure, volume, and temperature, we can use the Ideal Gas Law equation, which is:
PV = nRT
Where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin. Let's convert the temperature from Celsius to Kelvin by adding 273.15:
T = 72.8 + 273.15 = 345.95 K
Now, substituting the known values into the Ideal Gas Law equation gives us:
(4.24 atm)
(38.4 L) = n
(0.0821 L
atm
K-1
mol-1)
(345.95 K)
Solving for n, we get:
n = (4.24 atm
38.4 L) / (0.0821 L
atm
K-1
mol-1
345.95 K)
n = 4.46 moles
Therefore, there are 4.46 moles of the unknown gas at the given conditions.
