Question:medium
Find the final temperature of a mixture of two gases. If one gas has pressure \(P_1\), temperature \(T_1\), number of moles \(n_1\) and volume \(V_1\); and the second gas has pressure \(P_2\), temperature \(T_2\), number of moles \(n_2\) and volume \(V_2\). If the final pressure is \(P\) and final volume is \(V\), find the final temperature of the mixture.
Find the final temperature of a mixture of two gases. If one gas has pressure \(P_1\), temperature \(T_1\), number of moles \(n_1\) and volume \(V_1\); and the second gas has pressure \(P_2\), temperature \(T_2\), number of moles \(n_2\) and volume \(V_2\). If the final pressure is \(P\) and final volume is \(V\), find the final temperature of the mixture.
Updated On: Apr 7, 2026
- \( \displaystyle \frac{PV}{\frac{P_1V_1}{T_1}+\frac{P_2V_2}{T_2}} \)
- \( \displaystyle \frac{PV(T_1+T_2)}{P_1V_1+P_2V_2} \)
- \( \displaystyle \frac{(P_1V_1+P_2V_2)(T_1+T_2)}{PV} \)
- \( \displaystyle \frac{PV}{P_1V_1}T_1+\left(\frac{PV}{P_2V_2}\right)T_2 \)
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The Correct Option is A
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