Question

Calculate the volume the gas will occupy if the pressure is increased to 1.89 atmatm while the temperature is held constant. Express the answer in liters to three significant figures.

Answer 1

Question is incomplete, complete question is :

A fixed quantity of gas at 21°C exhibits a pressure of 758 torr and occupies a volume of 5.42 L . Calculate the volume the gas will occupy if the pressure is increased to 1.89 atm while the temperature is held constant.

Answer:

The final volume of the gas will be 2.86 L.

Explanation:

initial pressure of the gas = $P_1=758 Torr=\frac{758}{760} atm=0.997 atm$

initial volume of the gas = $V_1=5.42 L$

Final pressure of the gas = $P_2=1.89 atm$

Final volume of the gas = $V_1=?$

Applying Boyle's law;

$P_1V_1=P_2V_2$ ( at constant temperature)

$V_2=\frac{P_1V_1}{P_2}=\frac{0.997 atm\times 5.42 L}{1.89 atm}$

$V_2=2.86 L$

The final volume of the gas will be 2.86 L.