How many moles of gas in a helium filled tank with a volume of 4.00 L when thepressure inside is 365 atm andthetemperture is 33 degrees Celsius
To determine the number of moles of gas in a helium-filled tank, we can use the ideal gas law equation: 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.
First, we need to convert the temperature from degrees Celsius to Kelvin. To do this, we add 273.15 to the temperature in Celsius:
T(K) = 33°C + 273.15 = 306.15 K
Next, we can rearrange the ideal gas law equation to solve for the number of moles (n):
n = PV / RT
Plugging in the given values:
P = 365 atm
V = 4.00 L
R = 0.0821 L atm/(mol K)
T = 306.15 K
n = (365 atm * 4.00 L) / (0.0821 L atm/(mol K) * 306.15 K)
Now, we can calculate the number of moles:
n = 59.69 moles (rounded to two decimal places)
Therefore, there are approximately 59.69 moles of gas in the helium-filled tank.