4/11/2025\nchemistry\n1. if i have 3.1 l of a gas at 10°c and i compress it to a volume of 0.1 l what is the…

4/11/2025\nchemistry\n1. if i have 3.1 l of a gas at 10°c and i compress it to a volume of 0.1 l what is the new temperature?

4/11/2025\nchemistry\n1. if i have 3.1 l of a gas at 10°c and i compress it to a volume of 0.1 l what is the new temperature?

Answer

Explanation:

Step1: Convert initial temperature to Kelvin

$T_1 = 10 + 273.15=283.15\ K$

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

$T_2=\frac{V_2T_1}{V_1}$

Step3: Substitute values

$T_2=\frac{0.1\ L\times283.15\ K}{3.1\ L}\approx9.13\ K$

Step4: Convert final temperature to Celsius

$t_2 = 9.13 - 273.15=-264.02^{\circ}C$

Answer:

$-264.02^{\circ}C$