# Ideal gas law problems solutions

## Ideal gas law problems with solutions

This page provides the problems with solutions related to the ideal gas law in quiz form. Thus after complete, this quiz questions participant finds his/ her answer.

Boyle’s, Charles, and Avogadro’s law gives the birth of this law for gas molecules.

Ideal gas law for n moles ideal gas,

PV =nRT

where R = universal constant

But the equation gives us a connection between the pressure, volume, and temperature of a gas. Thus this equation is the equation of state for a gas molecule.

### Ideal gas law quiz questions with answer

7

Ideal gas question set

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### Conditions for liquefaction of gases

Why gas cannot be liquefied?

$E_{total}=\frac{3}{2}\times&space;nRT$

$=\frac{3}{2}\times&space;0.05\times&space;8.314\times&space;273$

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The total kinetic energy of 0.5 mol of an ideal gas at 273 K

$M=\frac{gRT}{PV}$

$\therefore&space;M=\frac{12.8\times&space;0.082\times&space;300}{10\times&space;\frac{750}{760}}$

=31.91 gm mol-1

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#### Molecular weight and density of ideal gases

The molecular weight of a gas, 12.8 gms of which occupy 10 liters at a pressure of 750 mm and at 27° C?

$P=\frac{dRT}{M}$

$or,&space;d=\frac{P\times&space;M}{R\times&space;T}$

$\therefore&space;d&space;=&space;\frac{17\times&space;1600}{760\times&space;82.1\times&space;373}$

= 0.00117 gm/cc

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The density of ammonia gas at 100⁰ C, when confined by the pressure of 1600 mm Hg?

PV = nRT

$or,&space;PV=\frac{g}{m}\times&space;RT$

$\therefore&space;P=\frac{7\times&space;0.082\times&space;300}{28\times&space;300}\,&space;atm$

= 2.05 atm

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Measure pressure exerts on the walls of a 3-liter container when 7 grams of nitrogen is introduced into the container at 27°C