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  • The velocity of sound in gas at 51°C is 340m/s. What will be the velocity of sound if pressure is doubled and temperature becomes 127°?Option: 1

The velocity of sound in gas at 51°C is 340m/s. What will be the velocity of sound if pressure is doubled and temperature becomes 127°?

Option: 1

376 m/s


Option: 2

377 m/s


Option: 3

378 m/s


Option: 4

380 m/s


Answers (1)

best_answer

Initial temperature:

        T_{1} = 51\degree C = (273 + 51) K = 324 K

Final temperature:

        T_{2} = 127\degree C = (273 + 127) K = 400 K

We know that c \alpha \sqrt{T}

\frac{c_{1}}{c_{2}} = \sqrt{\frac{T_{1}}{T_{2}}}

\implies c_{2} = c_{1}\sqrt{\frac{T_{1}}{T_{2}}}

                = 340\sqrt{\frac{400}{324}} = 340 * {\frac{20}{18}} = 378 m/s

Posted by

Rishabh

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