Question

A gas is know to have a volume of 7.81 liters when the pressure is 754 torr what would be the volume when the pressure is changed to 1.23 atm temperature is constant

Answer 1

Answer:

The volume when the pressure is changed to 1.23 atm and temperature is constant will be 6.3075 L.

Explanation:

Pressure and volume are related by Boyle's law that says:

"The volume occupied by a certain gas mass at a constant temperature is inversely proportional to the pressure"

Boyle's law is expressed mathematically as:

P * V = k

where:

• P: Pressure
• V: Volume
• k: Constant

Assuming a certain volume of gas V1 is at a pressure P1 at the beginning of the experiment. By varying the volume of gas to a new V2 value, then the pressure will change to P2, and the following will be true:

P1 * V1 = P2 * V2

In this case you have:

• P1= 754 torr= 0.9921 atm (1 atm=760 torr)
• V1= 7.82 L
• P2=1.23 atm
• V2=?

Replacing:

0.9921 atm*7.82 L=1.23 atm*V2

Resolving:

$V2=\frac{0.9921 atm*7.82 L}{1.23 atm}$

V2≅6.3075 L

The volume when the pressure is changed to 1.23 atm and temperature is constant will be 6.3075 L.