Question

A 650 mL sample of neon gas exerts a pressure of 0.125 atm. If compressed until the pressure is 0.600 atm, what will be the final volume of the sample in mL?

Answer 1

Answer: The final volume of the sample is 134.42 mL

Explanation:

To calculate the new volume, we use the equation given by Boyle's law. This law states that pressure is inversely proportional to the volume of the gas at constant temperature.

The equation given by this law is:

$P_1V_1=P_2V_2$

where,

$P_1\text{ and }V_1$ are initial pressure and volume.

$P_2\text{ and }V_2$ are final pressure and volume.

We are given:

$P_1=0.125atm\\V_1=650mL\\P_2=0.600atm\\V_2=?mL$

Putting values in above equation, we get:

$0.125atm\times 650mL=0.600atm\times V_2\\\\V_2=\frac{0.125\times 650}{0.600}=134.42mL$

Hence, the final volume of the sample is 134.42 mL