Home
Class 11
PHYSICS
If the rms speed of methane gas in the J...

If the rms speed of methane gas in the Jupiter's atmosphere is `471.8ms^(-1)`, show that the surface temperature of Jupiter is sub-zero.

Text Solution

Verified by Experts

RMS speed of methane gas `(nu_(rms))=471.8ms^(-1)`
Molar mass of methane gas (M) 16.04 g per mol
`M=16.04xx10^(-3)kg/mol`
Gsa constant `R=8.31 J mol^(-1)K^(-1)`
`nu_(rms)=sqrt((3RT)/M)`
`(nu_(rms))^(2)=(3RT)/M`
`T=((nu_(rms))^(2)xxM)/(3R)=((471.8)^(2)xx16.04xx10^(-3))/(3xx8.31)`
`(3.57xx10^(-6)xx10^(-3))/(24.93)=0.143xx10^(3)`
T=143K-273
`T=-130^(@)C`
Promotional Banner

Topper's Solved these Questions

  • KINETIC THEORY OF GASES

    FULL MARKS|Exercise Additional Multiple Choise Questions|36 Videos

  • KINETIC THEORY OF GASES

    FULL MARKS|Exercise Additional 2- Mark Questions|11 Videos

  • KINETIC THEORY OF GASES

    FULL MARKS|Exercise Textual Evaluation Solved (III Long Answer Question)|8 Videos

  • KINEMATICS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (LONG ANSWER QUESTIONS)|10 Videos

  • LAW OF MOTION

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (SHORT ANSWER QUESTIONS (3 MARKS & NUMERICALS))|16 Videos

Similar Questions

Explore conceptually related problems

Io, one of the satellites of Jupiter, has an orbital period of 1.769 days and the radius of the orbit is 4.22 × 10^(8) m. Show that the mass of Jupiter is about one-thousandth that of the sun.

If the rms speed of hydrogen molecules at 300K is 1930ms^(-1) . Then what is the rms speed of oxygen molecules at 1200K.

When 15.68 litres of a gas mixture of methane and propane are fully combusted at 0^@C and 1 atmosphere, 32 litres of oxygen at the same temperature and pressure are consumed. The amount of heat released from this combustion in kJ is ( DeltaH_C(CH_4) =-890 kJ mol^(-1) and DeltaH_C(C_3H_8)=-2220 kJ "mol"^(-1) )