Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

2. the volume of a gas is 1.50 l at 30.0°c. what volume will the gas oc…

Question

  1. the volume of a gas is 1.50 l at 30.0°c. what volume will the gas occupy if the temperature is raised to 134.0 °c at constant pressure? given: asked: solution: answer:

Explanation:

Step1: Convert temp to Kelvin

$T_1 = 30.0 + 273.15 = 303.15\ \text{K}$
$T_2 = 134.0 + 273.15 = 407.15\ \text{K}$

Step2: Apply Charles's Law

$\frac{V_1}{T_1} = \frac{V_2}{T_2}$
Rearrange to solve for $V_2$: $V_2 = V_1 \times \frac{T_2}{T_1}$

Step3: Substitute values

$V_2 = 1.50\ \text{L} \times \frac{407.15\ \text{K}}{303.15\ \text{K}}$

Step4: Calculate final volume

$V_2 = 1.50 \times 1.343 = 2.01\ \text{L}$

Answer:

$2.01\ \text{L}$