200NL: A7s: good spot for 2nd barrel?

[Montezuma21]

Party Poker - No Limit Hold'em Cash Game - $1/$2 Blinds - 6 Players - (LegoPoker HH Converter)

SB: $48.55
BB: $206.05
UTG: $106.60
MP: $245.15
CO: $207.15
Hero (BTN): $259.06

Reads: <font color="blue">villain is unknown. he's been at the table one orbit. in that time he's open-limped and folded to my PFR. is this a good spot to 2nd barrel an unknown. also, what's the optimal bet size and why?

please give reasons if you can.</font>

Preflop: Hero is dealt 7[img]/images/graemlins/diamond.gif[/img] A[img]/images/graemlins/diamond.gif[/img] (6 Players)
2 folds, CO calls $2.00, <font color="red">Hero raises to $9.00</font>, 2 folds, CO calls $7.00

Flop: ($21) 6[img]/images/graemlins/club.gif[/img] J[img]/images/graemlins/club.gif[/img] 5[img]/images/graemlins/heart.gif[/img] (2 Players)
CO checks, <font color="red">Hero bets $14.00</font>, CO calls $14.00

Turn: ($49) Q[img]/images/graemlins/heart.gif[/img] (2 Players)
CO checks, <font color="red">Hero?

[reef2287]

no because what if he calls... then WHAT? u have no draws, pretty drawy board, and what do you think hes calling with on the flop-- theres much better spots to fire a second barrel, this looks like a lost cause

[Kobecarter]

i would fire another barrel about 35 $. For that having to be profitable he has to fold about 40% of his range and i think that is reasonable