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.
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
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.