Air at standard sea$-$level conditions enters the tube shown in Fig., at Mach $0\mathrm{.}68,$ and reaches a value of Mach

$0\mathrm{.}25$ at the exit of the diffuser $($station B$).$ The entrance area is $1m^2.$ Assume no dissipative losses in the

diffuser. $(c_p=1004\mathrm{.}5\frac{J}{k}g-K,Y=1\mathrm{.}4)$

Heat is added at Mach $0\mathrm{.}25$ between stations $B$ and $C$ until thermal choking occurs. The heat added at station

C will be $\_{\left[\begin{array}{c}10\end{array}\right]}^5\frac{J}{k}\frac{g}{s}($Round off to two decimal places$).$