Question

a sample of gas occupies 175 ml at 0°c. what is its volume when the temperature is increased to 50°c? (p and n = constant)

Explanation:

Step1: Convert temperatures to Kelvin

Initial temperature \(T_1 = 0^{\circ}C+273 = 273K\), final temperature \(T_2=50^{\circ}C + 273=323K\), initial volume \(V_1 = 175mL\).

Step2: Apply Charles's Law (\(\frac{V_1}{T_1}=\frac{V_2}{T_2}\))

$$V_2=\frac{V_1\times T_2}{T_1}$$

$$V_2=\frac{175\times323}{273}$$

$$V_2=\frac{56525}{273}\approx207mL$$

Answer:

The final volume of the gas is approximately \(207mL\)