Question
A balloon that contains 0.75 L of air at 25. °C is cooled to -196. °C. The pressure and the number of gas particles do not change. What volume (in L) does the
balloon occupy at -196. °C? Be sure your answer has the correct number of significant figures.
balloon occupy at -196. °C? Be sure your answer has the correct number of significant figures.
Answers
GPT 3.5
To solve this problem, we can use the combined gas law:
PV/T = k
where P is the pressure, V is the volume, and T is the temperature. Since the pressure and the number of gas particles do not change, we can rewrite the equation as:
V1/T1 = V2/T2
where V1 is the initial volume, T1 is the initial temperature, V2 is the final volume, and T2 is the final temperature.
Given:
V1 = 0.75 L
T1 = 25 °C = 298 K
T2 = -196 °C = 77 K
Plugging in the values:
0.75 L / 298 K = V2 / 77 K
Solving for V2:
V2 = (0.75 L * 77 K) / 298 K
V2 = 0.194736 L
Therefore, the volume of the balloon at -196. °C is 0.19 L.
PV/T = k
where P is the pressure, V is the volume, and T is the temperature. Since the pressure and the number of gas particles do not change, we can rewrite the equation as:
V1/T1 = V2/T2
where V1 is the initial volume, T1 is the initial temperature, V2 is the final volume, and T2 is the final temperature.
Given:
V1 = 0.75 L
T1 = 25 °C = 298 K
T2 = -196 °C = 77 K
Plugging in the values:
0.75 L / 298 K = V2 / 77 K
Solving for V2:
V2 = (0.75 L * 77 K) / 298 K
V2 = 0.194736 L
Therefore, the volume of the balloon at -196. °C is 0.19 L.