Question

charless law

1. a balloon has a volume of 2.5l at 25°c, what will

its volume be at 50°c.

Explanation:

Step1: Recall Charles's Law

Charles's Law states that for a given amount of gas at constant pressure, the volume \( V \) is directly proportional to the absolute temperature \( T \) (in Kelvin). The formula is \( \frac{V_1}{T_1}=\frac{V_2}{T_2} \), where \( V_1, T_1 \) are initial volume and temperature, and \( V_2, T_2 \) are final volume and temperature.

Step2: Convert temperatures to Kelvin

To convert Celsius to Kelvin, use \( T(K)=T(^\circ C) + 273.15 \).
Initial temperature \( T_1 = 25^\circ C+ 273.15 = 298.15\ K \).
Final temperature \( T_2 = 50^\circ C + 273.15 = 323.15\ K \).
Initial volume \( V_1 = 2.5\ L \).

Step3: Solve for \( V_2 \)

Rearrange Charles's Law: \( V_2=\frac{V_1\times T_2}{T_1} \).
Substitute values: \( V_2=\frac{2.5\ L\times323.15\ K}{298.15\ K} \).
Calculate: \( \frac{2.5\times323.15}{298.15}\approx\frac{807.875}{298.15}\approx2.71\ L \).

Answer:

The volume of the balloon at \( 50^\circ C \) is approximately \( 2.71\ L \).