Answered

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A gas of volume 2 m^3 at 27°C is (a) heated to 327°C, (b) cooled to - 123°C, at constant pressure.What are its new volumes?

Sagot :

Eduard22sly

Answer:

A. 4 m³

B. 1 m³

Explanation:

A. Determination of the new volume.

Initial Volume (V₁) = 2 m³

Initial temperature (T₁) = 27 °C + 273 = 300 K

Final temperature (T₂) = 327 °C + 273 = 600 K

Final volume (V₂) =?

V₁ / T₁ = V₂ / T₂

2 / 300 = V₂ / 600

Cross multiply

300 × V₂ = 2 × 600

300 × V₂ = 1200

Divide both side by 300

V₂ = 1200 / 300

V₂ = 4 m³

B. Determination of the new volume.

Initial Volume (V₁) = 2 m³

Initial temperature (T₁) = 27 °C + 273 = 300 K

Final temperature (T₂) = –123 °C + 273 = 150 K

Final volume (V₂) =?

V₁ / T₁ = V₂ / T₂

2 / 300 = V₂ / 150

Cross multiply

300 × V₂ = 2 × 150

300 × V₂ = 300

Divide both side by 300

V₂ = 300 / 300

V₂ = 1 m³

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