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Heat and Thermodynamics question

2011 · Shift 0 · Q70

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JEE Main
Physics
Heat and Thermodynamics
2011 · Shift 0 · Q70

Heat and Thermodynamics question

2011 · Shift 0 · Q70

JEE MainPhysicsHeat and ThermodynamicsMCQ+4 / −1

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
${{\left( {{T_1} + {T_2} + {T_3}} \right)} \over 3}$

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