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A sample of chlorine gas is at 300. K and 1.00 atmosphere. At which temperature and pressure would the sample behave more like an ideal gas?
(1) 0 K and 1.00 atm
(2) 150. K and 0.50 atm
(3) 273 K and 1.00 atm
(4) 600. K and 0.50 atm

Could you please help me with my questions?

Verified Answer :

(4) 600 K and 0.5 atm

Answer : The correct option is, (4) 600 K and 0.50 atm

Explanation :

The conditions for ideal gas are :

  • Ideal gas are those gas that has no intermolecular attractions.
  • Ideal gas are those gas that have negligible volume.

The ideal gas equation is,

\(PV=nRT\)

The conditions for real gas are :

  • Real gas are those gas that have intermolecular attractions.
  • Real gas are those gas that have volume.

The real gas equation is,

\((P+\frac{an^2}{V^2})(V-nb)=nRT\)

A real gas behave ideally at high temperature and low pressure condition.

From the given options we conclude that, the option (4) have high temperature and low pressure. So, this is the correct option.

Hence, the sample behave more like an ideal gas at 600 K and 0.50 atm.

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