# If temperature and the amount of gas are fixed, Boyle's Law requires that which of the following be true?I. P1V1 = P2V2 II. PV = constant III. P1/P2 =...

If temperature and the amount of gas are fixed, Boyle's Law requires that which of the following be true?

I. P1V1 = P2V2 II. PV = constant

III. P1/P2 = V2/V1

a. I

b. II

c. III

d. I, II, and III

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### 3 Answers

In Boyle's law what he says is if the temperature remains unchanged, a constant mass of a confined gas will have a absolute pressure which is inversely proportional to it's volume.

Pressure (P) `alpha` 1/Volume (V)

P `alpha` 1/V

In other words the product of absolute pressure and temperature remains constant if the temperature remains unchanged.

P*V = k

If we consider two stages where pressure P1 and P2 and respective volumes V1 and V2 then

P1V1 = P2V2

This can be re-write as P1/P2 = V2/V1

**From the answers all (i) (ii) and (iii) are correct.**

**So the correct answer is (d)**

**Sources:**

I , II, III are correct

boyles law states that v 1/p

v= constant * 1/p

PV is a constant

P1 V1 = P2 V2

P1/P2 = v2/v1

Boyle's Law, a principle that describes the relationship between the pressure and volume of a gas. According to this law, the pressure exerted by a gas held at a constant temperature varies inversely with the volume of the gas. For example, if the volume is halved, the pressure is doubled; and if the volume is doubled, the pressure is halved. The reason for this effect is that a gas is made up of loosely spaced molecules moving at random. If a gas is compressed in a container, these molecules are pushed together; thus, the gas occupies less volume. The molecules, having less space in which to move, hit the walls of the container more frequently and thus exert an increased pressure. Boyle's Law actually applies only to an ideal, theoretical gas. When real gases are compressed at a constant temperature, changes in the relationship between pressure and volume occur. However, the law is accurate enough to be useful in a number of practical applications. It is used, for example, in calculating the volume and pressure of internal-combustion engines and steam engines. The law was first stated in 1662 by Robert Boyle. In 1676, Edme Mariotte of France independently stated the same law, and it is sometimes called Mariotte's Law. Stated as a formula, Boyle's Law reads: V1/V2=P2/P1 (at constant temperature) where V1 equals the original volume, V2 equals the new volume, P1 the original pressure, and P2 the new pressure.