A gas occupies a volume of 1 5 liters at a pres... - JAMB Chemistry 2023 Question
A gas occupies a volume of 1.5 liters at a pressure of 2 atmospheres. If the pressure is increased to 4 atmospheres while the temperature remains constant, what will be the new volume of the gas?
6 liters
1.5 liters
0.75 liters
3 liters
According to Boyle's Law, for a given amount of gas at constant temperature, the pressure and volume are inversely proportional. Mathematically, Boyle's Law is represented as:
\[ P_1 \cdot V_1 = P_2 \cdot V_2 \]
Where:
- \(P_1\) and \(V_1\) are the initial pressure and volume.
- \(P_2\) and \(V_2\) are the final pressure and volume.
In this case:
- \(P_1 = 2\) atmospheres
- \(V_1 = 1.5\) liters
- \(P_2 = 4\) atmospheres
Let's solve for \(V_2\):
\[ 2 \cdot 1.5 = 4 \cdot V_2 \]
\[ V_2 = \frac{2 \cdot 1.5}{4} \]
\[ V_2 = 0.75 \, \text{liters} \]
Therefore, the correct answer is:
0.75 liters
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