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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 ?
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