If two moles of an ideal monatomic gas at temperature T0 are mixed with 4 moles of an ideal diatomic gas at temperature 2T0, then the temperature of the mixture is
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a
95T0
b
1713T0
c
2313T0
d
132T0
answer is C.
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Detailed Solution
U=12nfRT where n : number of moles & f : degree of freedomU1=232RT0& U2=452R2T02×32RTmix+452RTmix =232RT0+452R2T03RTmix +10RTmix =3RT0+20RT0 13Tmix =23T0⇒Tmix =2313T0
If two moles of an ideal monatomic gas at temperature T0 are mixed with 4 moles of an ideal diatomic gas at temperature 2T0, then the temperature of the mixture is