Home
Class 11
PHYSICS
Calculate the number of moles air is in ...

Calculate the number of moles air is in the inflated balloon at room temperature as shown in the figure.
The radius of the balloon is 10 cm, and pressure inside the balloon is 180 kPa

Text Solution

Verified by Experts

`P=180kPa =180xx10^(3)Pa, V=(4)/(3)pir^(3), r=10cm, R="8.314 J mol"^(-1)k^(-1)`,
`T=27^(@)C=300K`
From ideal gas equation of state
`PV=muRT`
`mu=(PV)/(RT)=(180xx10^(3)xx(4)/(3)xx3.14xx(10xx10^(-2))^(3))/(8.314xx300)`
`=(0.7536xx10^(3))/(2494.2)=3.021xx10^(-4)xx10^(3)`
`mu~="0.3 mol"`
In the planet Mars, the average temperature is around `-53^(@)C` and atmospheric pressure is 0.9 kPa. Calculate the number of molecules in unit volume in the planet Mars? Is this greater than that in earth ?
Promotional Banner

Topper's Solved these Questions

  • HEAT AND THERMODYNAMICS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (I. Choose the correct answer from the following)|85 Videos

  • HEAT AND THERMODYNAMICS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (2 Marks Questions)|25 Videos

  • HEAT AND THERMODYNAMICS

    FULL MARKS|Exercise TEXTUAL EVALUATION SOLVED (III. Long Answer Questions)|24 Videos

  • GRAVITATION

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (Numerical Problems)|18 Videos

  • KINEMATICS

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

Similar Questions

Explore conceptually related problems

Calculate the volume of one mole of any gas at STP and at room temperature (300K) with the same pressure 1 atm.

A balloon, which always remains spherical on inflation, is being inflated by pumping in 900 cubic centimetres of gas per second. Find the rate at which the radius of the balloon increases when the radius is 15 cm.

A wooden article was made by scooping out a hemisphere from each end of a cylinder as shown in figure. If the height of the cylinder is 10 cm and its base is of radius 3.5 cm find the total surface area of the article.

The adjacent figure shows a cylindrical can with two balls. The can is just large enough so that two balls will fit inside with the lid on. The radius of each tennis ball is 3 cm. Calculate the following radius of the cylinder.

Estimate the speed of sound in air at standard temperature and pressure. Athe mass of 1 mole of air is 29.0 xx 10^(-3) kg .

The adjacent figure shows a cylindrical can with two balls. The can is just large enough so that two balls will fit inside with the lid on. The radius of each tennis ball is 3 cm. Calculate the following height of the cylinder.