If an angioplasty balloon has a volume of 0.85 cm³ and contains an inert gas mixture at 0.95 atm at room temperature (20 ° C), what is the resulting pressure of the balloon if the temperature is increased to 37 ° C and the volume reduced to 0.50 cm³?

Question

Quizplus · Accepted Answer

Using the combined gas law, $P_1V_1/T_1 = P_2V_2/T_2$, where $P$ is pressure, $V$ is volume, and $T$ is temperature in Kelvin. Convert temperatures to Kelvin: $20°C = 293K$ and $37°C = 310K$. Solve for $P_2$: $P_2 = (P_1V_1T_2)/(T_1V_2) = (0.95 \, \text{atm} \times 0.85 \, \text{cm}^3 \times 310K) / (293K \times 0.50 \, \text{cm}^3) ≈ 1.7 \, \text{atm}$.

If an Angioplasty Balloon Has a Volume of 0