A container has 0.05 m3 of gas at 1.99 x 105 Pa and 27C. The gas is compressed to 0.02 m3 at 127C. What is the final gauge pressure?

Question 2:

Step 1: Identify the given values and convert temperatures to Kelvin.
Initial gauge pressure $P_{gauge,1} = 1.99 \times 10^5 \text{ Pa}$.
Initial volume $V_1 = 0.05 \text{ m}^3$.
Initial temperature $T_1 = 27^\circ \text{C} = 27 + 273 = 300 \text{ K}$.
Final volume $V_2 = 0.02 \text{ m}^3$.
Final temperature $T_2 = 127^\circ C = 127 + 2