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Two moles of gas A at 27^(@)C mixed with...

Two moles of gas A at `27^(@)C` mixed with a 3 moles of gas at `37^(@)C.` If both are monatomic ideal gases, what will be the temperature of the mixture ?

A

`66^(@)C`

B

`11^(@)C`

C

`22^(@)C`

D

`33^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
D
Since there is no loss of energy in the process. `therefore` Temperature of the mixture,
`T=(mu_(1)T_(1)+mu_(2)T_(2))/(mu_(1)+mu_(2))=(2(27+273)+3(37+273))/(2+3)=(1530)/(5)`
`thereforeT=306K=306-273=33^(@)C`
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