Answered

how many moles of N2 are in a flask with a volume of 250ml at a pressure of 300.0 KPa and a temp of 300.0 K

Verified Answer :

It solve by PV=nRT
300×10^3×250×10^-6=n×8×300
And so on

Answer : The number of moles of \(N_2\) are, 0.03 mole

Solution :

Using ideal gas equation,

\(PV=nRT\)

where,

P = pressure of the gas = 300 kpa = 2.96 atm

conversion : 1 atm = 101.325 kpa

V = volume of the gas = 250 ml  = 0.250 L

conversion : 1 L = 1000 ml

T = temperature of the gas = 300 K

R = universal gas constant = 0.0821 Latm/moleK

n = number of moles of gas

Now put all the given values in the above formula, we get the number of moles of gas.

\(2.96atm\times 0.250L=n\times 0.0821Latm/moleK\times 300K\)

\(n=0.03mole\)

Therefore, the number of moles of \(N_2\) are, 0.03 mole