An ideal gas is allowed to expand from 7.40 L to 55.5 L at constant temperature. By what factor does the volume increase?

to get this, we just divide the final volume by the initial volume:

55.5 / 7.4 = ?

To find the factor by which the volume increases, we need to calculate the ratio of the final volume to the initial volume.

The factor by which something increases can be found by dividing the final value by the initial value:

Factor = Final value / Initial value

In this case, the final volume is 55.5 L, and the initial volume is 7.40 L. So we can calculate the factor by dividing these values:

Factor = 55.5 L / 7.40 L

Let's calculate this:

Factor = 7.5

Therefore, the volume increases by a factor of 7.5.