Ideal Gas Law: How to Calculate Moles of Gas in a Tube
How many moles of Helium gas are in the tube?
A. 1.9 mol
B. 0.019 mol
C. 18.24 mol
D. 0.525 mol
Answer:
1.905 moles of Helium gas are in the tube. Therefore, option A is correct.
The ideal gas law (PV = nRT) relates the macroscopic properties of ideal gases. An ideal gas is a gas in which the particles do not attract or repel one another and take up no space.
To calculate the moles of the gas using the ideal gas law equation, PV = nRT, where n is the moles and R is the gas constant. Then, divide the given mass by the number of moles to get the molar mass.
Given data:
P = 4.972 atm
V = 9.583 L
T = 31.8 + 273 = 304.8 K
R = 0.082057338 L atm K^-1 mol^-1
Putting the values in the given equation, we get:
n = (4.972 atm * 9.583 L) / (0.082057338 L atm K^-1 mol^-1 * 304.8 K)
n = 1.905 moles
Therefore, there are 1.905 moles of Helium gas in the tube, confirming that option A is correct.