Join thousands of students who trust us to help them ace their exams!Watch the first video
Multiple Choice
A large balloon is initially filled to a volume of 25.0 L at 353 K and a pressure of 2575 mm Hg. What volume of gas will the balloon contain at 1.35 atm and 253 K, assuming ideal gas behavior?
A
22.5 L
B
18.2 L
C
15.7 L
D
30.1 L
Verified step by step guidance
1
Identify the initial and final conditions of the gas: Initial volume (V1) = 25.0 L, initial temperature (T1) = 353 K, initial pressure (P1) = 2575 mm Hg. Final pressure (P2) = 1.35 atm, final temperature (T2) = 253 K.
Convert the initial pressure from mm Hg to atm for consistency in units. Use the conversion factor: 1 atm = 760 mm Hg. Calculate P1 in atm.
Apply the combined gas law, which relates the initial and final states of a gas: \( \frac{P1 \cdot V1}{T1} = \frac{P2 \cdot V2}{T2} \). Rearrange the equation to solve for the final volume (V2): \( V2 = \frac{P1 \cdot V1 \cdot T2}{P2 \cdot T1} \).
Substitute the known values into the rearranged equation: P1 (in atm), V1 = 25.0 L, T1 = 353 K, P2 = 1.35 atm, and T2 = 253 K.
Calculate the final volume (V2) using the substituted values to find the volume of gas the balloon will contain under the new conditions.