If the initial gas pressure inside the balloon is 1.0 atm, what is the final pressure?Express your answer using two significant figures.?
A weather balloon rises through the atmosphere, causing its volume to expand from 4.9 m³ to 14 m³ as the temperature decreases from 19 °C to -11 °C. Given that the initial gas pressure inside the balloon is 1.0 atm, what is the final pressure? Please express your answer using two significant figures. P = ___ atm?
2 Answers
P₁=1.0 atm
V₁ = 4.9 m³ x ( 1000L/1m³) = 4900 L
T₁ = (19°C + 273.15) K = 292.15 K
P₂ = ?
V₂ = 14 m³ x ( 1000L/1m³) = 14000 L
T₂ = (-11°C + 273.15) K = 262.15 K
P₁V₁/T₁ = P₂V₂/T₂
P₂ = P₁V₁T₂/V₂T₁
P₂ = 1.04900262.15 / (14000*292.15)
P₂ = 0.31 atm ← final pressure using 2 sig digits
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