A sample of nitrogen gas contains 5.0 mol in a volume of 3.5 L. Calculate the new volume of the container if the pressure and temperature are kept constant

Question

but the number of moles of nitrogen is changed to 1.7 mol. Be sure your answer has the correct number of significant figures.

Answer 1

To solve this problem, we can use the ideal gas law equation:

PV = nRT

Where:
P = Pressure
V = Volume
n = Number of moles
R = Gas constant (0.0821 L·atm/mol·K)
T = Temperature

Given:
Initial number of moles (n1) = 5.0 mol
Initial volume (V1) = 3.5 L
Final number of moles (n2) = 1.7 mol

Since the pressure and temperature are constant, we can set up the following equation:

P(V1) = (n1)RT = (n2)RT

Now we can solve for the final volume (V2) by rearranging the equation:

(V2) = (n1)(V1) / (n2)

Plugging in the given values:

V2 = (5.0 mol)(3.5 L) / (1.7 mol)
V2 = 10.294 L

Therefore, the new volume of the container would be 10.3 L.