# 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?

Question

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?

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Step 1

Given:

Initial Moles of gas = 2.10

Initial Volume  =  46.0 L

Leaked Moles = 0.700

What is the final volume?

Find the final moles of gas:

Final moles = initial moles – moles leaked

= 2.10 – 0.700 = 1.4 moles

Step 2

V1/n1 = V2/n2

Substitute the known values and simplify,

46/ 2.10 = V2/ 1.4

21.90 X 1.4 = V2

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### Gas laws 