Question

MULTIPLE CHOICE PLEASE HELP QUICK!!!!!!

Determine the difference in the speed of sound in hydrogen at 0°C and in air at 30°C.
a.)934
b)940
Also indicate if it is faster or slower.
a.)faster
b.)slower

Answer 1

 i would choose a for 945 and a for faster

Answer 2

934 m/s and it is faster in hydrogen than in air

Step-by-step explanation:

Speed of sound in gas is given by the formula

`v = \sqrt{(\gamma RT)/(M)}`

here we know for hydrogen

M = 2 g/mol

R = 8.31 J/mol k

`\gamma = 1.4`

T = 0 degree C = 273 K

now we will have

`v = \sqrt{((1.4)(8.31)(273))/(0.002)}`

`v_(hydrogen) = 1260.2 m/s`

Now for air we know that

M = 29 g/mol

R = 8.31 J/mol k

`\gamma = 1.4`

T = 30 degree C = 303 K

now we will have

`v = \sqrt{((1.4)(8.31)(303))/(0.029)}`

`v_(air) = 348.6 m/s`

so the difference in the speed is given as

`\Delta v = v_(hydrogen) - v_(air)`

`\Delta v = 1260.2 - 348.6 = 911.4 m/s`

so the closest answer is 934 m/s and it is faster in hydrogen than in air