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10 grade science

Velocity of sound is minimum in which of the following gases:A. NitrogenB. Hydrogen C. AirD. Carbon dioxide

Profile image of Aniket Singh
1 Year agoGrade
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1 Answer

Profile image of Askiitians Tutor Team
1 Year ago

The velocity of sound in a gas depends on its temperature and the properties of the gas itself. The formula for the speed of sound in a gas is given by:

v = √(γ * P / ρ)

where:

v is the speed of sound
γ (gamma) is the adiabatic index or the ratio of specific heats (Cp/Cv) of the gas
P is the pressure of the gas
ρ (rho) is the density of the gas
Among the options given:

A. Nitrogen
B. Hydrogen
C. Air (which is primarily composed of nitrogen and oxygen)
D. Carbon dioxide

Hydrogen has the lowest molecular weight among these gases, and it also has a low density. Both of these factors contribute to a higher speed of sound. So, option B (Hydrogen) would have the highest speed of sound among these gases.

Carbon dioxide (option D) has a higher molecular weight and density compared to the other gases, which means it would have a lower speed of sound compared to the others.

Therefore, the correct answer is D. Carbon dioxide. The velocity of sound is minimum in carbon dioxide among the given options.