Answer:
-24 °C
Step-by-step explanation:
We can use the combined gas law equation:
(P₁V₁)/T₁ = (P₂V₂)/T₂
where P is pressure, V is volume, and T is temperature, and subscripts 1 and 2 represent initial and final conditions.
Plugging in the values:
P₁ = 800 mmHg
V₁ = 750 mL
T₁ = 20 °C + 273.15 = 293.15 K
P₂ = 350 mmHg
V₂ = 3250 mL
T₂ = ?
((800 mmHg)(750 mL))/293.15 K = ((350 mmHg)(3250 mL))/T₂
Simplifying and solving for T₂:
T₂ = ((350 mmHg)(3250 mL))(293.15 K)/((800 mmHg)(750 mL))
T₂ ≈ 249 K
Converting back to Celsius:
T₂ ≈ -24 °C
Therefore, the new temperature of the gas is approximately -24 °C.