PhysicsA sample of oxygen at NTP has volume V and a sample of hydrogen at NTP has the volume 4V Both the gases are mixed. If the speed of sound in hydrogen at NTP is 1270 m/s, that in mixture is

A sample of oxygen at NTP has volume V and a sample of hydrogen at NTP has the volume 4V Both the gases are mixed. If the speed of sound in hydrogen at NTP is 1270 m/s, that in mixture is

A
$317 m / s$
B
635 m/s
C
830 m/s
D
950 m/s

Solution:

$ρ_{mix} = \frac{m_{1} + m_{2}}{v_{1} + v_{2}}$

$ρ_{mix} = \frac{ρ_{H} V_{H} + ρ_{0} V_{0}}{V + 4 V} = \frac{ρ_{H} 4 V + 16 ρ_{H} V}{5 V}$

$ρ_{mix} = \frac{20 ρ_{H} V}{5 V} = 4 ρ_{H}$

$V \propto \sqrt{\frac{1}{ρ}} \Rightarrow \frac{V_{mix}}{V_{H}} = \sqrt{\frac{ρ_{H}}{4 ρ_{H}}}$

$V_{mix} = \frac{1270}{2} = 635 m / s$

Related content

Difference Between Mass and Weight

Differences & Comparisons Articles in Physics

Important Topic of Physics: Reynolds Number

Distance Speed Time Formula

Refractive Index Formula

Mass Formula

Electric Current Formula

Electric Power Formula

Resistivity Formula

Weight Formula