Question

As of nitrogen occupies 35 ml balloon in a children's party room with a temperature of 25 Celsius. Calculate the volume in milliliters of the balloon if it is moved to a room with a temperature of 15 Celsius.

A) 29 mL
B) 31 mL
C) 33 mL
D) 37 mL

Answer 1

The volume of the balloon when it is moved to a room with a temperature of 15°C is approximately 33 mL.

Step-by-step explanation:

To calculate the volume of the balloon when it is moved to a room with a temperature of 15°C, we can use Charles's Law, which states that the volume of a gas is directly proportional to its temperature, assuming constant pressure.

First, let's convert the initial temperature to Kelvin: 25°C + 273.15 = 298.15 K.

We can set up the following equation: V1 / T1 = V2 / T2, where V1 is the initial volume (35 mL), T1 is the initial temperature in Kelvin (298.15 K), V2 is the final volume (unknown), and T2 is the final temperature in Kelvin (15°C + 273.15 = 288.15 K).

Simplifying the equation, we have: 35 mL / 298.15 K = V2 / 288.15 K.

Cross multiplying and solving for V2, we get: V2 = (35 mL * 288.15 K) / 298.15 K ≈ 33 mL.

Therefore, the volume of the balloon when it is moved to a room with a temperature of 15°C is approximately 33 mL.