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

Step-by-step 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 * 2.96 L= n * 0.0821 Latm/mol K * 305K`

n =
`(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.

Answer 2

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

Step-by-step 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* 2.96L=n* 0.0821\text{ L atm }mol^(-1)K^(-1)* 305K\\n=0.505mol`

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