The final pressure of the gas decreases by 1/5 of the original pressure of the gas.
Given:
If the volume of a sample of gas is increased 5 times the original volume while the temperature is held constant,
To find:
The change in pressure of the gas.
Solution:
The initial volume of the gas = \(V_1\)
The initial pressure of the gas = \(P_1\)
The final volume of the gas = \(V_2=5V_1\)
The final pressure of the gas = \(P_2=?\)
Using Boyles law:
\(P_1V_1=P_2V_2\\\\P_2=\frac{P_1V_1}{V_2}\\\\P_2=\frac{P_1V_1}{5V_1}\\\\P_2=\frac{P_1}{5}\)
The final pressure of the gas decreases by 1/5 of the original pressure of the gas.
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