Final answer:
To find the final pressure of the gas, we can use the ideal gas law equation PV = NkT. Since the gas expands isothermally, the temperature remains constant. By substituting the initial and final values into the equation, we can calculate the final pressure as 52.5 N/m².
Step-by-step explanation:
We can use the ideal gas law equation, PV = NkT, to find the final pressure of the gas. Since the gas expands isothermally, the temperature remains constant. We can use the equation twice, once for the initial conditions and once for the final conditions.
Let's assume the initial volume Vo is 1, so the final volume Vf is 2.
From PoVo = NkTo, we can solve for N and substitute in the equation PfVf = NkTf.
Rearranging and substituting the values, we get: Pf = Po * (Vo/Vf)
Plugging in the values, we have Pf = 105 N/m² * (1/2)
= 52.5 N/m².
Therefore, the final pressure of the gas is 52.5 N/m².