Answer
$ c = 2039.51$
$Ma = 0.441$
Work Step by Step
\ltSteam temparature $4T =700^oF = 1159.7K$
velocity $ v = 900ft/s^2$
Specific heat ratio $K =1.3$
Steam gas constant = $R= 2759.07ft^2/sec^2$
we have speed $c = \sqrt(KRT)$
substituting the values $c = \sqrt(1.3 \times 2759.07 \times 1159.7)$
$ c = 2039.51$
Match number = $Ma = v/c =900/2039.51 = 0.441$
