Answer to Question #346434 in General Chemistry for imusername

Question

Under constant pressure condition, a sample of hydrogen initially at 75 degree celcius and 6.2 L is cooled until its final volume is 5.4 L. What is it final temperature?

Answer 1

In the ideal gas law, when pressure becomes constant, the changes in a system can be deduced from the simple proportion:

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

The final temperature T₂ is:

$T_2 = \frac{T_1V_2}{V_1} = \frac{75 \times 5.4}{6.2} = 65.3 ^0C$