Chemistry: A cylinder, with a piston pressing down with a constant pressure, is filled with 2.10 moles of a gas (n1), and its volume is 46.0 L (V1). If 0.700 mole of gas leak out, and the pressure and temperature remain the same, what is the final volume of the gas inside the cylinder?

A cylinder, with a piston pressing down with a

kayleerose414

11.02.2022

The volume is $V_2 =15.33 \ L$

Explanation:

From the question we are told that

The number of moles of the gas is $n_1 = 2.10 \ moles$

The volume of the gas is $V = 46.0 \ L$

The of moles of the gas that leaked is $n_2 = 0.700 \ mol$

Generally from the ideal gas law

PV = nRT

Generally at constant pressure and temperature

$\frac{V}{n} = constant$

So $\frac{V_1 }{n_1} = \frac{V_2 }{n_2}$

=> $V_2 = \frac{ V_1 * n_2 }{ n_1}$

=> $V_2 = \frac{ 46.0 * 0.700 }{ 2.10 }$

=> $V_2 =15.33 \ L$

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