Chemistry Class 11 NCERT Solutions: Chapter 5 States of Matter Part 5

Q: 15. Calculate the total pressure in a mixture of 8 g of Dioxygen and 4 g of dihydrogen confined in a vessel of 1 dm^3 at 27° C. R=0.083 bar Equation

Answer:

Given,

Mass of Dioxygen Equation

Thus, number of moles of Equation

Mass of dihydrogen Equation

Thus, number of moles of Equation

Therefore, total number of moles in the mixture Equation

Given,

Equation

Equation

Equation

Equation

Total pressure (p) can be calculated as:

Equation

Equation

Equation

Equation

Hence, the total pressure of the mixture is 56.025 bar.

Q: 16. Pay load is defined as the difference between the mass of displaced air and the mass of the balloon. Calculate the pay load when a balloon of radius 10 m, mass 100 kg is filled with helium at 1.66 bar at Equation . (Density of air Equation )

Answer: Given,

Radius of the balloon, Equation

Equation

Equation

Equation

Thus, the volume of the displaced air is 4190.5 Equation

Given,

Density of air = Equation

Then, mass of displaced air= 4190.5× 1.2 kg

Equation

Now, mass of helium (m) inside the balloon is given by,

Equation

Here,

Equation

Equation

V Equation

Equation

Equation

Equation

Equation

Equation

Now, total mass of the balloon filled with helium = Equation

Equation

Hence, pay load Equation

Equation

Hence, the pay load of the balloon is 3811.1 kg.

Q: 17. Calculate the volume occupied by Equation

Equation

Answer:

It is known that,

Equation

Equation

Here,

Equation

Equation

Equation

Equation

Equation

Thus, volume (V) = Equation

Equation

Equation

Hence, the volume occupied is Equation

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