A container with initial volume 0.05 m3 and initial gauge pressure 1.99 × 105 Pa is compressed to a final volume of 0.02 m3. If the initial temperature is 27°C, what is the final temperature?

Step 1: Identify the initial and final conditions and convert temperatures to the absolute Kelvin scale. Initial conditions: Initial volume, V₁ = 0.05 m³; Initial temperature, T₁ = 27° C. Convert to Kelvin: T₁ = 27 + 273 = 300 K. Initial gauge pressure, P1,gauge = 1.99 × 10⁵ Pa. Final conditions: Final volume, V₂ = 0.02 m³ •

A container with initial volume 0.05 m3 and initial gauge pressure 1.99 × 105 Pa is compressed to a final volume of 0.02 m3. If the initial temperature is 27°C, what is the final temperature?

Step 1: Identify the initial and final conditions and convert temperatures to the absolute Kelvin scale. Initial conditions: Initial volume, V₁ = 0.05 m³; Initial temperature, T₁ = 27° C. Convert to Kelvin: T₁ = 27 + 273 = 300 K. Initial gauge pressure, P1,gauge = 1.99 × 10⁵ Pa. Final conditions: Final volume, V₂ = 0.02 m³ •

Solved: A container with initial volume 0.05 m3 and initial…

Step 1: Identify the initial and final conditions and convert temperatures to the absolute Kelvin scale.
Initial conditions:

Initial volume, $V_1 = 0.05 \text{ m}^3$
Initial temperature, $T_1 = 27^\circ C$ . Convert to Kelvin: $T_1 = 27 + 273 = 300 \text{ K}$ .
Initial gauge pressure, $P_{1,gauge} = 1.99 \times 10^5 \text{ Pa}$ .

Final conditions:

Final volume, $V_2 = 0.02 \text{ m}^3$

A container with initial volume 0.05 m3 and initial gauge pressure 1.99 x 105 Pa is compressed to a final volume of 0.02 m3. If the initial temperature is 27°C, what is the final temperature?

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