CHEMISTRY
JAMB 2010 - Question 5
Chemistry 2010 JAMB Past Questions - Question 5: The volume of a given gas is Vcm³ at P mmHg. What is the new volume of the gas if the pressure is reduced to half at constant temperature?
Choose the correct answers from the options given.
A:
B:
C:
D:
Correct Answer
B
Explanation
when the pressure is reduced to half, the volume is doubled.
Since the temperature is **constant**, we can utilize **Boyle's Law**, which states that for an ideal gas at constant temperature, the pressure and volume are inversely proportional. This means:
**P? × V? = P? × V?**
where:
* P? is the initial pressure (P mmHg)
* V? is the initial volume (V cm³)
* P? is the final pressure (half of P mmHg, so P/2 mmHg)
* V? is the final volume (unknown)
We want to find V?, so let's rearrange the equation:
**V? = (P? × V?) / P?**
Substitute the known values:
**V? = (P × V) / (P/2)**
**V? = (P × V × 2) / P**
Cancel out the P on both sides:
**V? = (V × 2)**
**V? = 2V**
Therefore, the new volume of the gas is **2Vcm³**.
So the answer is 2Vcm³
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