n1 and n2 moles of two ideal gases (mol. wt. M1 and M2) respectively

Question

n_{1}

and

n_{2}

moles of two ideal gases (mol. wt.

M_{1}

and

M_{2}

) respectively at temperature

T_{1}

K and

T_{2}

K are mixed. Assuming that no loss of energy, the temperature of mixture becomes -

Options:

A . n1T1+n2T2

B . n1T1+n2T2T1+T2

C . n1T1+n2T2n1+n2

D . n1×T2n1×n2

Answer: Option C
:
C
Let the final temperature be T , then K

E_{1}

+ K

E_{m i x t u r e}

\frac{3}{2}

n_{1} R T_{1}

\frac{3}{2}

n_{2} R T_{2}

\frac{3}{2}

(

n_{1} + n_{2}

) RT
T =

\frac{n_{1} T_{1} + n_{2} T_{2}}{n_{1} + n_{2}}

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