Chemistry Class 11 NCERT Solutions: Chapter 5 States of Matter Part 1

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Q: 1. What will be the minimum pressure required to compress 500 Equation of air at 1 bar to 200 Equation at Equation

Answer:

Given,

Initial pressure, Equation

Initial volume, Equation

Final volume, Equation

Since the temperature remains constant, the final pressure Equation can be calculated using Boyle’s law.

According to Boyle’s law,

Equation

Equation

Equation

Equation

Therefore, the minimum pressure required is 2.5 bar.

Q: 2. A vessel of 120 mL capacity contains a certain amount of gas at Equation and 1.2 bar pressure. The gas is transferred to another vessel of volume 180 mL at Equation What would be its pressure?

Answer:

Initial pressure, Equation

Initial volume, Equation

Final volume, Equation

Since the temperature remains constant, the final pressure Equation can be calculated using Boyle’s law.

According to Boyle’s law,

Equation

Equation

Equation

Equation

Therefore, the pressure would be 0.8 bar.

Q: 3. Using the equation of state Equation show that at a given temperature density of a gas is proportional to gas pressure.

Answer:

The equation of state is given by,

Equation

Where,

Equation

Equation

Equation

Equation

Equation

From equation (i) we have,

Equation

Replacing n with Equation we have

Equation

Where,

Equation

Equation

But, Equation

Thus, from equation (ii), we have

Equation

Equation

Molar mass (M) of a gas is always constant and therefore, at constant temperature

(T), Equation

Equation

Equation

Hence, at a given temperature, the density (d) of gas is proportional to its pressure (p)

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