Let's solve the problem step-by-step:
1. Assign the given variables:
- The initial pressure of the gas, [tex]\( P_1 \)[/tex], is [tex]\( 151 \, \text{mm Hg} \)[/tex].
- The final pressure of the gas, [tex]\( P_2 \)[/tex], is [tex]\( 166 \, \text{mm Hg} \)[/tex].
- The final volume of the gas, [tex]\( V_2 \)[/tex], is [tex]\( 0.532 \, \text{L} \)[/tex].
2. Identify what is being asked:
- The problem asks for the value of [tex]\( V_2 \)[/tex].
3. State the value of [tex]\( V_2 \)[/tex]:
- From the information provided, the value of [tex]\( V_2 \)[/tex] is [tex]\( 0.532 \, \text{L} \)[/tex].
Therefore, the correct choice is:
B. [tex]\( 0.532 \, \text{L} \)[/tex]