Table of contents

7. Gases

The Ideal Gas Law Applications

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Multiple Choice

A cylinder contains 1.00 mol of an ideal gas at constant temperature and pressure. What will its volume be if an additional 0.340 mol of gas is added to the cylinder?

0.66 times the original volume

1.34 times the original volume

0.34 times the original volume

1.68 times the original volume

Verified step by step guidance

Start by recalling the ideal gas law, which is expressed as

P V = n R T

, where

P

is pressure,

V

is volume,

n

is the number of moles,

R

is the ideal gas constant, and

T

is temperature.

Since the temperature and pressure are constant, the relationship between the volume and the number of moles can be simplified to

V ∝ n

. This means that the volume is directly proportional to the number of moles of gas.

Initially, the cylinder contains 1.00 mol of gas. When an additional 0.340 mol of gas is added, the total number of moles becomes

1.00 + 0.340 = 1.340

mol.

To find the new volume, use the proportional relationship:

\frac{1.340}{1.00}

. This ratio represents how the volume changes with the change in moles.

The new volume is

1.34

times the original volume, as the volume increases proportionally with the increase in moles.

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