Physics

Problem

Two thermally insulated vessels 1 and 2 are filled with air at temperatures (

T_1, T_2

), volumes (

V_1, V_2

) and pressures (

p_1, p_2

) respectively. If the valve joining the two vessels is opened, the temperature inside the vessel at equilibrium will be (

P

= common pressure) a.

T_1 + T_2

(T_1 + T_2)/2

\frac{T_1 T_2 p(V_1 + V_2)}{p_1 V_1 T_2 + p_2 V_2 T_1}

\frac{T_1 T_2 (p_1 V_1 + p_2 V_2)}{p_1 V_1 T_2 + p_2 V_2 T_1}