Question

A gas has a temperature of 14°C, and a volume of 5.5 liters. If the temperature is raised to 29°C and the pressure is not changed, what is the new volume of the gas?

a) 6.17 liters
b) 5.50 liters
c) 10.27 liters
d) 4.14 liters

Answer 1

According to Charles's Law, the volume and temperature of a gas are directly proportional. Therefore, the new volume of the gas is 11 liters.

Step-by-step explanation:

To find the new volume, we can use Charles's Law, which states that when the temperature of a gas at constant pressure is increased, the volume of the gas also increases. According to Charles's Law, the volume and temperature of a gas are directly proportional. This means that if the temperature is doubled, the volume will also double. So, if the initial temperature is 14°C and the volume is 5.5 liters, and the temperature is raised to 29°C, the new volume of the gas will also increase proportionally. We can set up a proportion to solve for the new volume:

(Initial Volume)/(Initial Temperature) = (New Volume)/(New Temperature)

Substituting in the values, we get:

(5.5 L)/(14°C) = (New Volume)/(29°C)

Solving for the new volume:

New Volume = (5.5 L * 29°C) / 14°C = 11 L

Therefore, the new volume of the gas is 11 liters.