Please solve this question fast and please inform me - Physics -

Question

Please solve this question fast and please inform me

Vipra Mishra · Accepted Answer

Dear Student Speed of sound $c=sqrt{gamma R_* T_1}$ Where, $gamma$ = Adiabatic index $R_*$ = Mass-specific gas constant $T_1$ = Temperature = 273 15+20 = 293 15 K $1 75c=sqrt{gamma R_* T_2}$ Dividing the equations we get $frac{1 75c}{c}=frac{sqrt{gamma R_* T_2}}{sqrt{gamma R_* T_1}}\Rightarrow 1 75=sqrt{frac{T_2}{T_1}}\Rightarrow 1 75^2=frac{T_2}{T_1}\Rightarrow 1 75^2=frac{T_2}{293 15}\Rightarrow T_2=1 75^2times 293 15\Rightarrow T_2=897 77 K$ The temperature of air would be 897 77 K Regards