Question

A sample of gas occupies 9.0 mL at a pressure of 500.0 mm Hg. A new volume of the same sample is at a pressure of 750.0 mm Hg. Is the new pressure smaller or larger than the original? Therefore, is the new volume larger or smaller than 9.0 mL? What is this new volume?

Answer 1

Answer: The new pressure of 750 mmHg is greater than initial pressure of 500 mm Hg and the new volume of 6.0 ml is lesser than the initial volume of 9.0 ml.

Explanation:

Boyle's Law: This law states that pressure is inversely proportional to the volume of the gas at constant temperature and number of moles.

$P\propto \frac{1}{V}$     (At constant temperature and number of moles)

$P_1V_1=P_2V_2$  

where,

$P_1$ = initial pressure of gas  = 500.0 mmHg

$P_2$ = final pressure of gas= 750.0 mmHg

$V_1$ = initial volume of gas = 9.0 ml

$V_2$ = final volume of gas  = ?

$500\times 9.0=750\times V_2$  

$V_2=6.0ml$

Therefore, the gas would compress to new volume of 6.0 ml.

The new pressure of 750 mmHg is greater than initial pressure of 500 mm Hg and the new volume of 6.0 ml is lesser than the initial volume of 9.0 ml.

Answer 2

The new pressure is larger than the original, the new volume is smaller than 9.0 ml and the new volume is 6.0 

good luck :D