Question

A gas has a volume of 9.75 L at 23°C. The volume changed to 6.45 L at constant pressure. What will be the new temperature?

a) 15°C
b) 20°C
c) 25°C
d) 30°C

Answer 1

According to Charles's Law, the volume of a gas is directly proportional to its temperature at constant pressure. By using this law, we can calculate the new temperature of the gas when its volume changes from 9.75 L to 6.45 L. The new temperature is approximately 15°C.

Step-by-step explanation:

According to Charles's Law, the volume of a gas is directly proportional to its temperature at constant pressure. In this case, the gas initially has a volume of 9.75 L at 23°C, and its volume changes to 6.45 L. Since the volume decreases, we can conclude that the temperature of the gas must also decrease. To find the new temperature, we can set up a proportion:

(Initial Volume)/(Initial Temperature) = (Final Volume)/(Final Temperature)

Substituting the given values, we have: 9.75 L/23°C = 6.45 L/X°C. Cross-multiplying, we get: 9.75 L * X°C = 6.45 L * 23°C. Solving for X, we find that the new temperature is approximately 15°C. Therefore, the correct answer is a) 15°C.