Column A

1.
According to Boyle's law, if the pressure is increased by 4 times its original value, the volume will.....

:
According to Boyle's law, if the pressure is increased by 4 times its original value, the volume will.....

2.
According to Boyle's law, if the pressure is decreased by 1/5 of its original value, the volume will.....

:
According to Boyle's law, if the pressure is decreased by 1/5 of its original value, the volume will.....

3.
According to Charles's law, if the temperature is increased by 3 times its original value, the volume will.....:
According to Charles's law, if the temperature is increased by 3 times its original value, the volume will.....

a.increase by three times its original value.
b.increase by five times its original value.
c.increase by four times its original value.
.

According to Boyle's law, if the pressure is increased by 4 times its original value, the volume will decrease by 4 times its original value.

According to Boyle's law, if the pressure is decreased by 1/5 of its original value, the volume will increase by 5 times its original value.

According to Charles's law, if the temperature is increased by 3 times its original value, the volume will increase by three times its original value.

According to Boyle's law, the relationship between pressure and volume is inversely proportional. This means that as the pressure increases, the volume decreases, and as the pressure decreases, the volume increases.

1. According to Boyle's law, if the pressure is increased by 4 times its original value, the volume will decrease by a factor of 1/4.

2. According to Boyle's law, if the pressure is decreased by 1/5 of its original value, the volume will increase by a factor of 5/1 or simply 5.

3. According to Charles's law, the relationship between temperature and volume is directly proportional. This means that as the temperature increases, the volume also increases.

Therefore, if the temperature is increased by 3 times its original value according to Charles's law, the volume will increase by a factor of 3.

To answer these questions, we need to understand Boyle's law and Charles's law.

1. Boyle's law states that the volume of a gas is inversely proportional to its pressure, when temperature is kept constant. Mathematically, this can be written as P1V1 = P2V2, where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume.

If the pressure is increased by 4 times its original value, we can write this as P2 = 4P1. Substituting this into the Boyle's law equation, we get P1V1 = (4P1)V2. Simplifying, we find V2 = V1/4. So, the volume will decrease to 1/4th of its original value.

2. Following the same logic as above, if the pressure is decreased by 1/5 of its original value, we can write this as P2 = (1 - 1/5)P1 = (4/5)P1. Substituting this into the Boyle's law equation, we get P1V1 = [(4/5)P1]V2. Simplifying, we find V2 = (5/4)V1. So, the volume will increase by 5/4 or 1.25 times its original value.

3. Charles's law states that the volume of a gas is directly proportional to its temperature, when pressure is kept constant. Mathematically, this can be written as V1/T1 = V2/T2, where V1 and T1 are the initial volume and temperature, and V2 and T2 are the final volume and temperature.

If the temperature is increased by 3 times its original value, we can write this as T2 = 3T1. Substituting this into the Charles's law equation, we get V1/(3T1) = V2/T2. Simplifying, we find V2 = 3V1. So, the volume will increase by three times its original value.

Therefore, the answers to the questions are:
1. The volume will decrease to 1/4th of its original value.
2. The volume will increase by 1.25 times its original value.
3. The volume will increase by three times its original value.

I hope this helps! Let me know if you have any more questions.