Question

a sample of oxygen, o₂, occupies 32.2 ml at 303 k and 452 torr. what volume will it occupy at 203 k and the same pressure? identify the variables from the problem below. enter the numeric value on the right and use the drop down menu to choose the correct unit for the variable. for the unknown variable enter a question mark on the left.

v₁=

t₁=

v₂=

t₂=

calculate the value of the unknown variable. include the calculated value on the left and use the drop - down menu to choose the correct unit.

Explanation:

Step1: Identify variables

From the problem, \(V_1 = 32.2\) mL (initial volume), \(T_1=303\) K (initial temperature), \(T_2 = 203\) K (final temperature), and \(V_2\) is the unknown (final volume).

Step2: Use Charles's Law

Charles's Law is \( \frac{V_1}{T_1}=\frac{V_2}{T_2}\). Rearranging for \(V_2\) gives \(V_2=\frac{V_1\times T_2}{T_1}\).
Substitute the values: \(V_2=\frac{32.2\times203}{303}\).
First, calculate \(32.2\times203 = 6536.6\).
Then, \(V_2=\frac{6536.6}{303}\approx21.6\) mL.

Answer:

\(V_1 = 32.2\) mL, \(T_1 = 303\) K, \(V_2=\)?, \(T_2 = 203\) K. The value of \(V_2\) is approximately \(21.6\) mL.