# Calculating Pressure with Boyle's Law: 38 lbs of Books on 0.45 in^2 Syringe

• Novus Dakota
In summary, the conversation discusses Boyle's Law and its formula PV = C, where P stands for pressure, V stands for volume, and C stands for constant. The question then asks about calculating the pressure exerted on a syringe plunger by books, and the answer is obtained using the formula Pressure=Force/Area. It is also noted that Boyle's Law is only applicable to ideal gases at constant temperature and cannot be applied to objects and particles in classical physics.
Novus Dakota
So i looked up Boyle's and it said

PV = C

P= pressure

V= Volume

C= constant

so my question is

Suppose 38 pounds of books were balanced on a syringe plunger with a cross-section area of 0.45 in^2?

A) how much pressure would just the books exert on the trapped air sample?

so would this be correct

P= 38/0.45= 84.4 psi

im not sure if 38 is the constant or even if I am using the right formula for this problem. thanks guys

Well, your answer seems right, but you didn't get it from using the Boyle's Law formula which you quoted.

You simply used Pressure=Force/Area, which is perfectly valid.

Moreover , the boyle's law is only applicable to ideal gases at constant temperature and cannot be applied to objects and particle of classical physics.

## 1. What is Boyle's Law?

Boyle's Law states that the pressure and volume of a gas are inversely proportional at a constant temperature. This means that as the volume of a gas decreases, the pressure increases, and vice versa.

## 2. How is Boyle's Law used to calculate pressure?

To calculate pressure using Boyle's Law, we use the formula P1V1 = P2V2, where P1 and V1 represent the initial pressure and volume, and P2 and V2 represent the final pressure and volume. Rearranging this formula, we get P2 = (P1 * V1) / V2.

## 3. What is the relationship between pressure and volume in Boyle's Law?

The relationship between pressure and volume in Boyle's Law is inverse. This means that as one variable increases, the other decreases, at a constant temperature. This relationship is also known as an inverse proportion.

## 4. How is pressure affected by an increase in weight on a syringe?

If the weight on a syringe increases, the volume inside the syringe decreases. According to Boyle's Law, this decrease in volume results in an increase in pressure. Therefore, an increase in weight on a syringe would lead to an increase in pressure.

## 5. How do you convert the units of pressure in this calculation?

The units of pressure in this calculation are pounds per square inch (lbs/in^2). To convert this to another unit, such as atmospheres (atm) or pascals (Pa), you can use conversion factors. For example, to convert from lbs/in^2 to atm, you would multiply the value by 0.068.

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