Question

If 4 moles of gaseous nitrogen gas are confined in a 6.0 L container at 1770C and 12.0 atm. Suppose the container isothermally expand to 36.0 L. What is the final pressure experienced by this gas?

Answer 1

Answer:The initial conditions of the nitrogen gas are:

n = 4 moles

V = 6.0 L

T = 177°C = 450 K

P = 12.0 atm

Using the ideal gas law:

PV = nRT

where R is the universal gas constant (0.08206 L atm/mol K).

We can rearrange the ideal gas law to solve for the final pressure (Pf) at a constant temperature:

Pf = (nRTf) / Vf

where T f and Vf are the final temperature and volume, respectively.

Since the expansion is isothermal, the temperature remains constant at 450 K. The final volume is 36.0 L. Thus:

Pf = (4 mol x 0.08206 L atm/mol K x 450 K) / 36.0 L

Pf = 16.37 atm

Therefore, the final pressure experienced by the nitrogen gas is 16.37 atm.

Step-by-step explanation: