sample of nitrogen occupies 5.50 liters under a pressure of 900 torr at
25C. At what temperature will it occupy 10.0 liters at the same pressure?
(a) 32C (b) -109C (c) 154C (d) 269C
Answers
Given info : A sample of nitrogen occupies 5.5 litres under a pressure of 900 torr at 25°C.
To find : At what Temperature will it occupy 10 litres at the same pressure ?
solution : at the same pressure,
volume is directly proportional to temperature.
i.e., V ∝ T
⇒V₁/V₂ = T₁/T₂
here, V₁ = 5.5 litres , T₁ = 25°C = 298K
V₂ = 10 litres, T₂ = ?
now, 5.5/10 = 298/T₂
⇒T₂ = 298 × 10/5.5 ≈ 542 K
Temperature in degree Celsius = 542 - 273 = 269°C
Therefore the temperature will be 269°C.
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Answer: 5
Explanation: