Velocity of sound in O_(2)gas is 460 ms^(-1) at certain temperature. Velocity of sound in He gas at the same temperature would be ....... (Consider both the gases to be ideal).

Velocity of sound in O_(2)gas is 460 ms^(-1) at certain temperature. V

1.	Velocity of sound in O_(2)gas is 460 ms^(-1) at certain temperature. Velocity of sound in He gas at the same temperature would be ....... (Consider both the gases to be ideal).
Answer» `1419 MS ^(-1)` `460 ms ^(-1)` `500 ms^(-1)` `650 ms ^(-1)` Solution :We have, `v = sqrt ((gamma RT)/( M _(0)))` considering oxygen and helium gases as first and second gas RESPECTIVELY, `(v_(1))/(v _(2) ) = sqrt ((T _(1))/( T _(2)) xx ( M _(02))/( M _(01)) xx (gamma _(1))/( gamma _(2))) ""(because ` R is constant) `therefore (460)/(v _(2)) = sqrt(1 + (4)/( 32) xx (7//5)/(5//3))""(because T_(1) - T _(2))` `therefore v _(2) = 460 xx sqrt ((32)/(4) xx (5)/(3) xx (5)/(7)) = 1419 (m)/(s)`