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One gas of \({n}_{1}\)mole of molecules at temperature \({T}_{1}\), volume \({V}_{1}\), and pressure \({P}_{1}\), and an…

Q1

One gas of \({n}_{1}\)mole of molecules at temperature \({T}_{1}\), volume \({V}_{1}\), and pressure \({P}_{1}\), and another gas of \({n}_{2}\) mole of molecules at temperature \({T}_{2}\), volume \({V}_{2}\), and pressure\({P}_{2}\), are mixed resulting in pressure P and volume V of the mixture. the temperature of the mixture is ______.

[04 April, 2026 (Shift-I)]

a

\(\frac{({T}_{1}+{T}_{2})}{2}\)

b

\(\frac{{T}_{1}{T}_{2}PV}{({T}_{2}{P}_{1}{V}_{1}+{T}_{1}{P}_{2}{V}_{2})}\)

c

\(\frac{({T}_{2}{P}_{1}{V}_{1}+{T}_{1}{P}_{2}{V}_{2})}{({T}_{1}{T}_{2}PV)}\)

d

\(\frac{|{T}_{1}-{T}_{2}|}{2}\)

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