Question

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

Answer 1

Answer:

Final volume = 0.42 cubic meters

Explanation:

The question is incomplete. The initial conditions are

Initial temperature ,$T_{1}$ = 310 K

Initial volume ,$V_{1}$ = 0.5 cubic meter

Number of moles = 2.5

Since, from the ideal gas equation we get,

PV = nRT

P $\times 0.5 = 2.5 \times 8.314 \times 310$

$P_{1}$ = 12886.7 Pa

Final pressure= 15464.04 Pa

Since temperature is constant,

PV = constant

$12886.7 \times 0.5 = 15464.04 \times V$

V = 0.42 cubic meters.

Hence final volume = 0.42 cubic meters