Answer to Question #349310 in General Chemistry for JAYDE

Question

5.00 L of a gas is collected at 200 K and then allowed to

expand to 20.0 L. What must the new temperature be in order

to maintain the same pressure?

Answer 1

V₀ – initial volume = 5 liters

V – final volume = 20 liters

T₀ – initial temperature = 200 K

T – final temperature = ?

Charles's law, a statement that the volume occupied by a fixed amount of gas is directly proportional to its absolute temperature, if the pressure remains constant:

$\cfrac {V}{V_0}= \cfrac {T}{T_0}$

$T = \cfrac {V*T_0}{V_0}= \cfrac{20l * 200K}{5l}= 800 K$

Answer: 800 K