Question

The volume of a gas at 99.0 kPa is 300.0 mL. If the pressure is increased to 188

kPa, what will be the new volume?

Answer 1

To find the new volume of a gas when pressure is increased from 99.0 kPa to 188 kPa, apply Boyle's Law. The new volume is calculated to be approximately 157.98 mL.

Step-by-step explanation:

The student's question involves finding the new volume of a gas when the pressure on it is increased, assuming temperature and the amount of gas remain constant. This is an application of Boyle's Law in Chemistry, which states that the pressure of a gas is inversely proportional to its volume when temperature and amount are constant (P1V1 = P2V2). To solve for the new volume (V2), we can rearrange the equation to V2 = (P1V1)/P2.

Using the provided values, the initial pressure P1 is 99.0 kPa, the initial volume V1 is 300.0 mL, and the final pressure P2 is 188 kPa. Plugging these into the equation gives us V2 = (99.0 kPa * 300.0 mL) / 188 kPa, which calculates to a new volume V2 of approximately 157.98 mL.

Therefore, if the pressure on a gas is increased from 99.0 kPa to 188 kPa, the new volume will be 157.98 mL.

Answer 2

158.0 mL

Step-by-step explanation:

We can solve this problem by using Boyle's law, which states that:

"For a fixed mass of a gas kept at constant temperature, the pressure of the gas is inversely proportional to its volume"

Mathematically:

`p\propto (1)/(V)`

where

p is the pressure of the gas

V is its volume

The equation can be rewritten as

`p_1 V_1 = p_2 V_2`

where in this problem:

`p_1=99.0 kPa` is the initial pressure

`V_1=300.0 mL` is the initial volume

`p_2=188 kPa` is the final pressure

Solving for V2, we find the final volume:

`V_2=(p_1 V_1)/(p_2)=((99.0)(300.0))/(188)=158.0` mL