Question

You have a balloon filled with hydrogen gas

Answer 1

Answer:

619.2 K

Explanation:

We can solve this problem by using Charle's Law, which states that:

"For a fixed mass of an ideal gas kept at constant pressure, the volume of the gas is directly proportional to its absolute temperature"

Mathematically:

$V\propto T$

where

V is the volume of the gas

T is the absolute temperature

The equation can be rewritten as follows for a gas that undergoes a transformation at constant pressure:

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

where in this problem:

$V_1=736 mL = 0.736 L$ is the initial volume of the gas

$T_1=15.0C+273=288 K$ is the initial temperature

$V_2=2.28 L$ is the final volume of the gas

Solving for T2, we find the final temperature:

$T_2=\frac{V_2 T_1}{V_1}=\frac{(2.28)(288)}{0.736}=892.2 K$

Converting into Celsius degrees,

$T_2=892.2-273=619.2 K$