The following data were collected for the reaction 2 NO(g) + 2 H2(g) ? N2(g) + 2 H2O (l), at 826°C and with constant volume.?

2NO(g) + 2H₂(g) → N₂(g) + 2H₂O(ℓ)
Rate = k (PNO)ˣ (PH₂)ʸ

Consider Experiments 1 and 2. When PH₂ is kept constant:
(9.63 × 10³)/(1.07 × 10⁻³) = (1.60/0.533)ˣ
9 = 3ˣ
3ˣ = 3²
x = 2

Consider Experiments 2 and 3. When PNO is kept constant:
(2.90 × 10⁻²)/(9.63 × 10⁻³) = (0.6/0.2)ʸ
3 = 3ʸ
3ʸ = 3¹
y = 1

The answer: a. Rate = k (PNO)² (PH₂)