If the volume in a syringe is doubled, what happens to the pressure?

Answer 1

Ellie Andrews

It will decrease by a factor of 2.

This is basically an application of the ideal gas law:

#PV = nRT#

If you solve for pressure, you get:

#P = (nRT)/V#

Assuming that the amount of gas and the temperature remain constant, this can simply be rewritten as:

#P = k/V#

Where #k# is a constant.

In other words, pressure is inversely proportional to volume. So, if you double the volume, it will be like halving the pressure. This also makes sense if you think about it logically. If the gas has more space to move around in, it's going to spend less time pressing against the walls of the container.

Hope that helped :)

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Answer 2

Olivia Anton

If the volume in a syringe is doubled, the pressure will decrease by half, assuming the temperature remains constant. This is described by Boyle's Law, which states that the pressure of a gas is inversely proportional to its volume when temperature is held constant.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.