Question

a sample of gas has a volume of 3.40 l at 10.0°c. what will be its volume at 100.0°c, pressure remaining constant?
4.32 l
4.95 l
4.48 l
3.94 l
question 10 30 pts
a sample of gas has a volume of 1380 ml at a temperature of 20.0°c. what will be its volume at 0.0°c, pressure remaining constant?
1186 ml
1397 ml
1286 ml
1093 ml

Explanation:

Step1: Convert temperatures to Kelvin

$T_1 = 10.0^\circ\text{C} + 273.15 = 283.15\ \text{K}$, $T_2 = 100.0^\circ\text{C} + 273.15 = 373.15\ \text{K}$

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

$V_2 = V_1 \times \frac{T_2}{T_1} = 3.40\ \text{L} \times \frac{373.15}{283.15} \approx 4.48\ \text{L}$

Step3: Solve second sub-question (convert temps)

$T_1' = 20.0^\circ\text{C} + 273.15 = 293.15\ \text{K}$, $T_2' = 0.0^\circ\text{C} + 273.15 = 273.15\ \text{K}$

Step4: Apply Charles's Law to second sub-question

$V_2' = 1380\ \text{mL} \times \frac{273.15}{293.15} \approx 1286\ \text{mL}$

Answer:

First question: C. 4.48 L
Second question: C. 1286 ml