Question

A soda bottle is flexible enough that the volume of the bottle can change even with out opening it. If you have an empty soda bottle (volume 591 mL) at room temperature (20 degrees Celsius), what will the new volume be if you put it into a freezer (-4.0 degrees Celsius)?

A) 18.4 mL
B) 184 mL
C) 543 mL
D) 644 mL

Answer 1

The new volume of the soda bottle in the freezer would be approximately 59.2 mL.

Step-by-step explanation:

When a soda bottle is placed in a freezer, it experiences a decrease in temperature. The volume of the soda bottle decreases with temperature due to the contraction of molecules.

To calculate the new volume of the soda bottle, we can use the relationship between volume and temperature, known as Charles' Law. According to Charles' Law, the volume of a gas is directly proportional to its temperature, assuming constant pressure. The equation can be written 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.

Using this equation, we can set up the following proportion:

591 mL/20°C = V2/-4.0°C

Now, we can solve for V2:

V2 = (591 mL * -4.0°C)/20°C = -1184 mL°C/20 = -59.2 mL

The new volume of the soda bottle in the freezer would be -59.2 mL. However, since volume cannot be negative, we take the absolute value, which is 59.2 mL. Therefore, the answer is approximately 59.2 mL.