Find the Temperature at Which K_p = 42 $\leftrightharpoons$ 2HI(g) [Given: at 25

Multiple Choice

Find the temperature at which K_p = 42.0 for the reaction H₂(g) + I₂(g) $\leftrightharpoons$ 2HI(g) . [Given: at 25 ^$\circ$ C, for H₂(g) , $\Delta$ H ^$\circ$ _f = 0, S ^$\circ$ = 131.0 J/mol·K; for I₂(g) , $\Delta$ H ^$\circ$ _f = 62.26 kJ/mol, S ^$\circ$ = 260.6 J/mol·K; for HI(g) , $\Delta$ H ^$\circ$ _f = 25.9 kJ/mol, S ^$\circ$ = 206.3 J/mol·K; assume that $\Delta$ H ^$\circ$ and $\Delta$ S ^$\circ$ are independent of temperature.]

A) 1040 K
B) 168 K
C) 539 K
D) 1400 K
E) 34,200 K