Let's start by assigning the given values to their respective variables.
We know:
- The initial pressure [tex]\( P_1 = 151 \)[/tex] mm Hg.
- The final pressure [tex]\( P_2 = 166 \)[/tex] mm Hg.
- The final volume [tex]\( V_2 = 0.532 \)[/tex] L.
We are asked to find the initial volume [tex]\( V_1 \)[/tex].
To determine [tex]\( V_1 \)[/tex], we would typically use the relationship provided by Boyle's Law for gases, which states that for a fixed amount of gas at constant temperature, the pressure and volume are inversely proportional:
[tex]\[ P_1 \times V_1 = P_2 \times V_2 \][/tex]
However, since [tex]\( V_1 \)[/tex] is not provided:
Let's check the options given for [tex]\( V_1 \)[/tex]:
A. 166 mm Hg
B. 0.532 L
C. unknown
Given the information at hand, the correct choice for [tex]\( V_1 \)[/tex] is:
C. unknown
So, the initial volume [tex]\( V_1 \)[/tex] is unknown.
