Answer
This is not the correct method, because it produces a solution with 0.250M of $H_2SO_4$.
Work Step by Step
Volume after dilution: 500 ml + 500 ml = 1000 ml
1. Find the concentration after the dilution:
$C_1 * V_1 = C_2 * V_2$
$0.500 * 500 = C_2 *1000$
$250 = C_2 *1000$
$C_2 =0.250M$
