For the reaction $N_2 + O_2 \rightleftharpoons 2NO$,the equilibrium concentrations of $N_2$,$O_2$,and $NO$ are $0.25 \ mol/L$,$0.05 \ mol/L$,and $1.0 \ mol/L$ respectively. What are the initial concentrations of $N_2$ and $O_2$?

For the reaction,$N_2O_{4(g)} \rightleftharpoons 2NO_{2(g)}$,if dinitrogen tetroxide is $50\%$ dissociated at $60^\circ C$,the standard free energy change at this temperature and $1 \ atm$ pressure is:

In an equilibrium mixture at $1 \, atm$ pressure and $25 \, ^oC$,the partial pressures of $N_2O_4$ and $NO_2$ are $0.70 \, atm$ and $0.30 \, atm$ respectively. The partial pressure of $N_2O_4$ in the equilibrium mixture at $9 \, atm$ pressure and $25 \, ^oC$ will be ........... $atm$.

$A$ $20 \, L$ container at $400 \, K$ contains $CO_{2(g)}$ at a pressure of $0.4 \, atm$ and an excess of $SrO$ (neglect the volume of solid $SrO$). The volume of the container is now decreased by moving the movable piston fitted in the container. The maximum volume of the container,when the pressure of $CO_2$ attains its maximum value,will be........$L$
(Given: $SrCO_{3(s)} \rightleftharpoons SrO_{(s)} + CO_{2(g)}, K_p = 1.6 \, atm$)

$A$ plot of $\ln K$ against $\frac{1}{T}$ ($x$-axis) is expected to be a straight line,with intercept on $Y$-axis equal to

Given the equilibrium constants for the following three reactions:
$(1) N_2 + 3H_2 \rightleftharpoons 2NH_3; K_1$
$(2) N_2 + O_2 \rightleftharpoons 2NO; K_2$
$(3) H_2 + \frac{1}{2}O_2 \rightleftharpoons H_2O; K_3$
The equilibrium constant for the reaction of $NH_3$ with oxygen to form $NO$ and $H_2O$ is: