Find the Temperature at Which K_p = 4 $\leftrightharpoons$ 2NO₂(g) $\circ$ C, for NO₂(g)

Multiple Choice

Find the temperature at which K_p = 4.00 for the reaction N₂O₄(g) $\leftrightharpoons$ 2NO₂(g) . [Given: at 25 ^$\circ$ C, for NO₂(g) , $\Delta$ H ^$\circ$ _f = 33.85 kJ/mol, S ^$\circ$ = 240.46 J/mol·K; for N₂O₄(g) , $\Delta$ H ^$\circ$ _f = 9.66 kJ/mol, S ^$\circ$ = 304.3 J/mol·K; assume that $\Delta$ H ^$\circ$ and $\Delta$ S ^$\circ$ are independent of temperature.]

A) 197 ^$\circ$ C
B) 56 ^$\circ$ C
C) 36 ^$\circ$ C
D) 79 ^$\circ$ C
E) 476 ^$\circ$ C