Question

A sample of nitrogen gas, stored in a 2.96-L container at 32.0°C, exerts a pressure of 4.27 atm. Calculate the number of moles of nitrogen gas in the container. Enter your answer in the box provided. mol

Answer 1

Answer: The number of moles of nitrogen gas is 0.505 moles.

Explanation:

To calculate the number of moles of nitrogen gas, we use ideal gas equation, which is:

$PV=nRT$

where,

P = pressure of the gas = 4.27 atm

V = Volume of the gas = 2.96 L

T = Temperature of the gas = $32.0^oC=[32.0+273]K=305K$

R = Gas constant = $0.0821\text{ L. atm }mol^{-1}K^{-1}$

n = number of moles of gas = ?

Putting values in above equation, we get:

$4.27atm\times 2.96L=n\times 0.0821\text{ L atm }mol^{-1}K^{-1}\times 305K\\n=0.505mol$

Hence, the number of moles of nitrogen gas is 0.505 moles.

Answer 2

Explanation:

The given data is as follows.

     Volume = 2.96 L,       Temperature = $32.0^{o}C$ = (32 + 273) K = 305 K,

        Pressure = 4.27 atm,       n = ?

And, according to ideal gas equation, PV = nRT

           $4.27atm \times 2.96 L= n \times 0.0821 Latm/mol K \times 305K$    

                n = $\frac{12.64 atm L}{25.04 Latm/mol}$

                         = 0.505 mol

Thus, we can conclude that the number of moles of nitrogen gas in the container is 0.505 mol.