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# Please help! A gas at 350K and 15 bar has molar volume 20 percent smaller than that for an ideal gas under the same conditions. Thecorrectoption about the gas and its compressibility factor (Z) is:

A gas at 350K and 15 bar has molar volume 20 percent smaller than that for an ideal gas under the same conditions. The  correct  option about the gas and its compressibility factor (Z) is:

• Option 1)

Z>1 and attractive forces are dominant

• Option 2)

Z>1 and repulsive forces are dominant

• Option 3)

Z<1 and attractive forces are dominant

• Option 4)

Z<1 and repulsive forces are dominant

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Option 3

$Z = \frac{V_m}{V_{\textup{ideal}}}$

Molar volume of gas is 20% smaller than that of the ideal gas.

$\therefore\;V_m < V_{\textup{ideal}}$

Hence Z < 1 and attractive forces are dominant.

When Z < 1: Gas shows negative deviation and is more compressible than expected from ideal behaviour.  Z < 1 corresponds to attractive forces between molecules.

Option 1)

Z>1 and attractive forces are dominant

Option 2)

Z>1 and repulsive forces are dominant

Option 3)

Z<1 and attractive forces are dominant

Option 4)

Z<1 and repulsive forces are dominant

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