At what temperatures (in 0^(@)C) will the speed of sound in air be 3 times its value at 0^(@)C?

At what temperatures (in 0^(@)C) will the speed of sound in air be 3 t

1.	At what temperatures (in 0^(@)C) will the speed of sound in air be 3 times its value at 0^(@)C?
Answer» Solution :We have `v prop sqrtT implies (v _(2))/( v _(1)) = SQRT (( T _(2))/( T _(1)))` ` therefore (v _(1))/( 3 v _(1)) = sqrt (( 0 + 273)/( T _(2)))` ` therefore (1)/(9) = sqrt ((0 + 273)/(T _(2)))` `therefore 1/9 = (273)/(T _(2))` `therefore T _(2) = 2457 K = (2457 - 273)^(@)C` `therefore T_(2) = 2184^(@)C`