Question

A gas has a volume of 3.4 L at 25°C. What is the final temperature if the volume increases to 10 L at constant pressure?

• A. 1894 K
• B. 694 K
• C. 894 K
• D. 394 K

Hint:

Charles' Law relates the volume and temperature of a gas at constant pressure.

Answer 1

The Correct Option is C

Step 1: Applying Charles' Law.
Charles' Law states that for a given amount of gas at constant pressure, the volume is directly proportional to the temperature. This is expressed as: \[ \frac{V_1}{T_1} = \frac{V_2}{T_2} \] where \( V_1 = 3.4 \, \text{L}, T_1 = 298 \, \text{K}, V_2 = 10 \, \text{L} \). We need to find \( T_2 \).

Step 2: Solving for \( T_2 \).
Using the equation \( T_2 = \frac{V_2 \times T_1}{V_1} \), we substitute the values: \[ T_2 = \frac{10 \times 298}{3.4} = 894 \, \text{K} \]
Step 3: Conclusion.
The correct answer is (C) 894 K, as calculated using Charles' Law.