QJEEM11Ph5f7a: JEE Main 2011 Physics - Class 11 JEEM11Ph5f7a Solution: Three perfect gases at absolute temperatures and are mixed. The …

Question

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Three perfect gases at absolute temperatures

{T_1},\,{T_2}

and

{T_3}

are mixed. The masses of molecules are

{m_1},{m_2}

and

{m_3}

and the number of molecules are

{n_1},

{n_2}

and

{n_3}

respectively. Assuming no loss of energy, the final temperature of the mixture is:

A ${{{n_1}{T_1} + {n_2}{T_2} + {n_3}{T_3}} \over {{n_1} + {n_2} + {n_3}}}$
B ${{{n_1}T_1^2 + {n_2}T_2^2 + {n_3}T_3^2} \over {{n_1}{T_1} + {n_2}{T_2} + {n_3}{T_3}}}$
C ${{n_1^2T_1^2 + n_2^2T_2^2 + n_3^2T_3^2} \over {{n_1}{T_1} + {n_2}{T_2} + {n_3}{T_3}}}$
D ${{\left( {{T_1} + {T_2} + {T_3}} \right)} \over 3}$