Question

A cylinder, with a piston pressing down with a constant
pressure, is filled with 2.00 moles of a gas (*n*1), and its
volume is 49.0 L (*V*1). If 0.500 mole of gas leak out, and
the pressure and temperature remain the same, what is the final
volume of the gas inside the cylinder?

Answer #1

Given, a cylinder, with a piston pressing down with a constant pressure, is filled with 2.00 moles of a gas (n1), and its volume is 49.0 L (V1).

If 0.500 mole of gas leak out then n2=n1-0.5=2-0.5=1.5 mol, and the pressure and temperature remain the same, what is the final volume of the gas inside the cylinder.

V2=?

From ideal gas law, PV=nRT

at constant P and T, V1/V2=n1/n2

Therefore, V2=V1n2/n1=(49.0 Lx1.5mol)/ 2.00 mol

V2=36.75 L.

The final volume of the gas inside the cylinder=**36.75 L**.

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