A 2.00-L glass soda bottle filled only with air is tightly capped at 25°C and 728.0 mmHg.If the bottle is placed in water at 65°C,what is the pressure in the bottle?

Question

Quizplus · Accepted Answer

The pressure in the bottle can be calculated using the ideal gas law and the fact that the volume and the amount of gas remain constant. The formula to use is $ P_1/T_1 = P_2/T_2 $, where $ P_1 $ and $ T_1 $ are the initial pressure and temperature, and $ P_2 $ and $ T_2 $ are the final pressure and temperature. Temperatures must be in Kelvin. Converting temperatures to Kelvin: $ T_1 = 25°C + 273.15 = 298.15 K $ and $ T_2 = 65°C + 273.15 = 338.15 K $. Solving for $ P_2 $, $ P_2 = P_1 \times (T_2/T_1) = 728.0 \, mmHg \times (338.15 K / 298.15 K) = 826 \, mmHg $.

A 200-L Glass Soda Bottle Filled Only with Air Is Tightly