Question #46808

If 3.0 L of oxygen gas at is cooled at constant pressure until the volume becomes 1.50 L, then what is the final temperature?

Expert's answer

Question #46808, Chemistry, Inorganic Chemistry

If 3.0 L of oxygen gas at is cooled at constant pressure until the volume becomes 1.50 L, then what is the final temperature?

Answer:

To solve this problem you need to use Charles law equations V1/T1=V2/T2V_{1} / T_{1} = V_{2} / T_{2}.

Because initial conditions are not specified, then we take the standard ambient temperature and pressure (SATP).


T1=25C=298 KT_{1} = 25^{\circ}C = 298\ \text{K}V1=3.0 LV_{1} = 3.0\ \text{L}V2=1.5 LV_{2} = 1.5\ \text{L}T2=?T_{2} = ?V1/T1=V2/T2T2=(T1V2)/V1\begin{array}{l} V_{1} / T_{1} = V_{2} / T_{2} \\ T_{2} = (T1 \cdot V2) / V_{1} \\ \end{array}T2=(2981.5)/3=149 (K)T_{2} = (298 \cdot 1.5) / 3 = 149\ (\text{K})

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