Question

A samll bubble rises from the bottom of a lake, where the temperature and pressure are $8^{\circ }$C and 6.0 atm, to the water's surface, where the temperature is ${25}^{\circ }$°C and pressure is 1.0 atm. Calculate the final volume of the bubble if its initial volume was 2 mL

• A. 14 mL
• B. 12.72 mL
• C. 11.31 mL
• D. 15 mL

Answer 1

The correct option is B

12.72 mL

The voulme of the gas in the bubble remains constant , so that $n_1$ = $n_2$

To calculate the final volume $V_2$

$V_2$ = $V_1$ $\times$ $\frac{P_1}{P_2}$ $\times$ $\frac{T_2}{T_1}$

= 0.2mL $\times$ $\frac{6.0atm}{1.0atm}$ $\times$ $\frac{298K}{281K}$

= 12.72mL