The planet Jupiter has an atmosphere composed mainly of methane at a temperature of -130- C Find the velocity of sound on the planet- Assume Y of the gas inside Jupiter to be 1-3- R -8-36 J mol -1 K -1A- 350B- 420C- 311D- 564

The correct option is C 311 T= 130^∘ C = 130 + 273 = 143 K γ =1.3 R = 8.36 J mol^ 1 K^ 1 V = ? V = √(γ RT/M) = √(1.3 × 8.3 × 143/16 × 10^ 3) [Molecul ...

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Standard XII

Physics

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The planet Ju...

Question

The planet Jupiter has an atmosphere composed mainly of methane at a temperature of $- 130^{\circ} C$
Find the velocity of sound on the planet. Assume $γ$ of the gas inside Jupiter to be 1.3. $(R = 8.36 J m o l^{- 1} K^{- 1})$

350

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420

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311

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564

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Solution

The correct option is C
311

$T = - 130^{\circ} C = - 130 + 273 = 143 K γ = 1.3 R = 8.36 J m o l^{- 1} K^{- 1} V = ? V = \sqrt{\frac{γ R T}{M}}$
$= \sqrt{\frac{1.3 \times 8.3 \times 143}{16 \times 10^{- 3}}}$ [Molecular mass of methane $C H_{4} = 12 + 4 = 16$ ]
$= \frac{1242}{4} 311 m s^{- 1}$

Ans: $311 m s^{- 1}$

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The planet Jupiter has an atmosphere composed mainly of methane at a temperature of −130∘C Find the velocity of sound on the planet. Assume γ of the gas inside Jupiter to be 1.3. (R=8.36 J mol−1 K−1)

The correct option is C 311 T=−130∘C=−130+273=143Kγ=1.3R=8.36 J mol−1 K−1V=?V=√γRTM =√1.3×8.3×14316×10−3 [Molecular mass of methane CH4=12+4=16] =12424311ms−1 Ans: 311 ms−1

The planet Jupiter has an atmosphere composed mainly of methane at a temperature of $- 130^{\circ} C$
Find the velocity of sound on the planet. Assume $γ$ of the gas inside Jupiter to be 1.3. $(R = 8.36 J m o l^{- 1} K^{- 1})$