We now slowly increase the pressure to 15464.04 pa while keeping the temperature constant. what is the final volume?

Final volume = 0.42 cubic meters

Explanation:

The question is incomplete. The initial conditions are

Initial temperature , = 310 K

Initial volume , = 0.5 cubic meter

Number of moles = 2.5

Since, from the ideal gas equation we get,

PV = nRT

P

= 12886.7 Pa

Final pressure= 15464.04 Pa

Since temperature is constant,

PV = constant

V = 0.42 cubic meters.

Hence final volume = 0.42 cubic meters