Table 4 The parameters obtained from fitting of final values of k by Eq. (8) and the relevant statistical quantities of fitting [30] for reactions of MgO with carbonic reductants in different molar ratios and at temperatures 1723.15 K, 1748.15 K, 1773.15 K, 1798.15 K, and 1823.15 K

A/(K^−B min⁻¹)

881243424.7861

6745162.4300

908504046.5483

84223579.3924

B

0.2510

3.1695 × 10⁻¹³

1.6029

2.2265 × 10⁻¹⁴

C/K^D

70055.7717

41910.0601

139511.1051

46272.3206

D

1.0307

1

1.0850

1

RSQ

0.9903

0.9548

0.9789

0.9631

RMSE

2.1819 × 10⁻⁵

Infinity

4.9679 × 10⁻⁵

Infinity

SSE

4.7609 × 10⁻¹⁰

1.7711 × 10⁻⁹

2.4680 × 10⁻⁹

4.6591 × 10⁻⁹

RSQ_{NL_Arr}^a

0.9902

0.9532

0.9311

0.9805

RMSE_{NL_Arr}

1.2662 × 10⁻⁵

4.2859 × 10⁻⁵

5.1820 × 10⁻⁵

4.9617 × 10⁻⁵

SSE_{NL_Arr}

4.8101 × 10⁻¹⁰

1.8369 × 10⁻⁹

8.0558 × 10⁻⁹

2.4618 × 10⁻⁹

RSQ_{L_Arr}^b

0.9636

0.9947

0.9658

0.9997

RMSE_{L_Arr}

0.1811

2.6988 × 10⁻²

0.3291

1.1373 × 10⁻²

SSE_{L_Arr}

9.8376 × 10⁻²

7.2837 × 10⁻⁴

0.3249

1.2935 × 10⁻⁴

RSQ_{Ref [}23_].

0.9421

–

0.9895

–

RMSE_{Ref [}23_].

0.02

–

0.027

–

SSE_{Ref [}23_].

–

–

–

–