Question

An inflated balloon has a volume of 5.75 L at a temperature of 22 °C. At what temperature in degrees Celsius will the volume of the balloon decrease to 5.38 L?

A. 3.0 °C
B. 21 °C
C. 24 °C
D. 320 °C

Answer 1

To find the temperature at which the volume of the balloon decreases to 5.38 L, we can use the combined gas law. By rearranging the equation and plugging in the given values, we find that the temperature is approximately 20.7°C.

Step-by-step explanation:

To solve this problem, we can use the combined gas law, which states that the initial volume divided by the initial temperature must equal the final volume divided by the final temperature, assuming constant pressure.

We can solve for the final temperature by rearranging the equation and plugging in the given values:

V1/T1 = V2>/T2

(5.75 L)/(22°C) = (5.38 L)/(T2)

Cross-multiplying and solving for T2, we get:

T2 = (5.38 L * 22°C) / (5.75 L) ≈ 20.7°C

Therefore, at a temperature of approximately 20.7°C, the volume of the balloon will decrease to 5.38 L.