Question

A vessel containing 10 litre of air under a pressure of 1MPa is connected to a 4 litre empty vessel the final air pressure in the vessel assuming that the process is isothermal

Answer 1

because it is the value of 10 litre which is 1 MPA and is 4 lire connection and yes that is isothermal

Answer 2

We know that, under isothermal process,

                                   $P_1 V_1 = P_2 V_2$ -→ (1)

Given: the initial pressure, the initial and final volume. Have to find the final pressure.

                                   $P_1$ = 1 MPa

                                   $V_1$ = 10 litre

                                   $P_2$ = ?

                                   $V_2$ = 4 litre

From equation (1),

                                   $P_2 = P_1 V_1 / V_2$

                                   $P_2$ = 1 x 10/4 = 10/4 = 2.5 MPa

Hence the final air pressure in the vessel is 2.5MPa.