The volume of a given gas is V cm\(^3\) at a pressure P mm Hg. what is the new volume of the gas if the pressure is reduced to half at constant temperature?
A
4 V cm3
B
2 V cm3
C
V/2 cm3
D
V cm3
Verified Correct Answer: B.
Chemical Principles & Mechanism
Given:
V\(_1\) = V cm\(^3\) P\(_1\) = P mmHg V\(_2\) = ? P\(_2\) = \(\frac{P}{2}\) At constant temperature ⇒ Boyle's Law
P\(_1\)V\(_1\) = P\(_2\)V\(_2\)
V\(_2\) = \(\frac{{P_1}{V_1}}{P_2}\)
= \(\frac{{P}\times{V}\times {2}}{P}\)
V\(_2\) = 2V
Source: WAEC / JAMB / NECO Classroom Archive (Record #4466)