Answer:
1328 K or 1055 °C
Explanation:
To find the new temperature, you need to use the Combined Gas Law:
P₁V₁ / T₁ = P₂V₂ / T₂
In this equation, "P₁", "V₁", and "T₁" represent the initial pressure, volume, and temperature. "P₂", "V₂", and "T₂" represent the final pressure, volume, and temperature. After converting the temperature (T₁) from Celsius to Kelvin, you can plug the values into the equation and simplify.
P₁ = 1.0 atm P₂ = 0.90 atm
V₁ = 200 L V₂ = 1000 L
T₁ = 22 °C + 273.15 = 295.15 K T₂ = ? K
P₁V₁ / T₁ = P₂V₂ / T₂
(1.0 atm)(200 L) / 295.15 K = (0.90 atm)(1000 L) / T₂
0.6776 = (0.90 atm)(1000 L) / T₂
(0.6776) x T₂ = (0.90 atm)(1000 L)
(0.6776) x T₂ = 900
T₂ = 1328 K
T₂ = 1055 °C
