Question

quiz - gas laws
name: ebtesam
questions

1. a balloon filled with neon gas has a volume of 165ml at a temperature of 25.0°c. if the temperature is changed to °c (at constant pressure) the volume of the balloon will expand to 190ml. (record your answer to the nearest tenth)

your answer: □□□

Explanation:

Step1: Convert initial temperature to Kelvin

$T_1 = 25 + 273.15=298.15\ K$

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

We know $V_1 = 165\ mL$, $V_2 = 190\ mL$ and $T_1=298.15\ K$. Rearranging for $T_2$ gives $T_2=\frac{V_2T_1}{V_1}$.

Step3: Calculate $T_2$

$T_2=\frac{190\times298.15}{165}\approx343.6\ K$

Step4: Convert $T_2$ back to Celsius

$t_2=T_2 - 273.15=343.6 - 273.15 = 70.5^{\circ}C$

Answer:

$70.5$