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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

Respuesta :

keasia1213
 i would choose a for 945 and a for faster

Answer:

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

Explanation:

Speed of sound in gas is given by the formula

[tex]v = \sqrt{\frac{\gamma RT}{M}}[/tex]

here we know for hydrogen

M = 2 g/mol

R = 8.31 J/mol k

[tex]\gamma = 1.4[/tex]

T = 0 degree C = 273 K

now we will have

[tex]v = \sqrt{\frac{(1.4)(8.31)(273)}{0.002}}[/tex]

[tex]v_{hydrogen} = 1260.2 m/s[/tex]

Now for air we know that

M = 29 g/mol

R = 8.31 J/mol k

[tex]\gamma = 1.4[/tex]

T = 30 degree C = 303 K

now we will have

[tex]v = \sqrt{\frac{(1.4)(8.31)(303)}{0.029}}[/tex]

[tex]v_{air} = 348.6 m/s[/tex]

so the difference in the speed is given as

[tex]\Delta v = v_{hydrogen} - v_{air}[/tex]

[tex]\Delta v = 1260.2 - 348.6 = 911.4 m/s[/tex]

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

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