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Q.

If 2 mol of an ideal monoatomic gas at temperature T0  are mixed with 4 mol of another ideal monoatomic gas at temperature 2T0, then the temperature of the mixture is

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a

53T0

b

32T0

c

43T0

d

54T0

answer is A.

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Detailed Solution

Let T be the temperature of the mixture.Then U=U1+U2or  f2n1+n2RT=f2n1(R)T0+f2(n2)(R)2T0or  (2+4)T=2T0+8T0     ∵ n1=2, n2=4∴ T=53T0
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