Question

To what volume must 175 L of air at 1.0 atm be compressed to yield a pressure of 5.2 atm? (You can assume constant temperature.

Answer 1

Answer:

The volume upto which a gas can be  compressed at 5.2 atm pressure is 33.65 L.

Explanation:

Under constant temperature:

Initial volume of the gas $V_1=175 L$

Initial pressure of the gas = $P_1=1.0 atm$

Final volume of the gas $V_2=?$

Final pressure of the gas = $P_2=5.2 atm$

Applying Boyle's law:

$P_1V_1=P_2V_2$ (constant temperature)

$V_2=\frac{1.0 atm\times 175 L}{5.2 atm}=33.65 L$

The volume upto which a gas can be compressed at 5.2 atm pressure is 33.65 L.

Answer 2

Using the ideal gas law, for a constant temperature, pV = constant (also known as Boyle's Law)
(1 atm)(175 L) = (5.2 atm)(V) = constant
V = 33.7 L