Three perfect gases at absolute temperature $T_1 , T_2$ 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
Three perfect gases at absolute temperature $T_1 , T_2$ 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
$\frac{{n_2^1T_1^2 \,+ \,n_2^2T_2^2 \,+\, n_3^2T_3^2}}{{{n_1}{T_1}\,+\, {n_2}{T_2} \,+\, {n_3}{T_3}}}$
- B
$\frac{{\left( {{T_1} \,+\, {T_2} \,+\, {T_3}} \right)}}{3}$
- C
$\frac{{{n_1}{T_1} \,+,\ {n_2}T_2 \,+\,{n_3}{T_3}}}{{{n_1} \,+\, {n_2} \,+ \,{n_3}}}$
- D
$\frac{{{n_1}T_1^2\, +\, {n_2}T_2^2 \,+ \,{n_3}T_3^2}}{{{n_1}{T_1} \,+\, {n_2}{T_2}\, +\, {n_3}{T_3}}}$
Similar Questions
Three liquids with masses $m_1,m_2,m_3$ are thoroughly mixed. If their specific heats are $c_1,c_2,c_3$ and their temperatures $T_1,T_2,T_3$ respectively, then the temperature of the mixture is
Three liquids with masses $m_1,m_2,m_3$ are thoroughly mixed. If their specific heats are $c_1,c_2,c_3$ and their temperatures $T_1,T_2,T_3$ respectively, then the temperature of the mixture is
Two substances $A$ and $B$ of equal mass $m$ are heated at uniform rate of $6\,cal\,s^{-1}$ under similar conditions. A graph between temperature and time is shown in figure. Ratio of heat absorbed $H_A/H_B$ by them for complete fusion is
Two substances $A$ and $B$ of equal mass $m$ are heated at uniform rate of $6\,cal\,s^{-1}$ under similar conditions. A graph between temperature and time is shown in figure. Ratio of heat absorbed $H_A/H_B$ by them for complete fusion is
A rod is fixed between two points at $20\,^oC$ . The coefficient of linear expansion of material of rod is $1.1 \times 10^{-5}/\,^oC$ and Young's modulus is $1.2 \times 10^{11}\,N/m^2$. Find the stress developed in the rod if temperature of rod becomes $10\,^oC$
A rod is fixed between two points at $20\,^oC$ . The coefficient of linear expansion of material of rod is $1.1 \times 10^{-5}/\,^oC$ and Young's modulus is $1.2 \times 10^{11}\,N/m^2$. Find the stress developed in the rod if temperature of rod becomes $10\,^oC$
A vertical glass capillary tube open at both ends contains some water. Which of the following shapes may be taken by the water in the tube?
A vertical glass capillary tube open at both ends contains some water. Which of the following shapes may be taken by the water in the tube?
$540\ g$ of ice at $0\ ^oC$ is mixed with $540\ g$ water at $80\ ^oC$. The final temperature of the mixture is
$540\ g$ of ice at $0\ ^oC$ is mixed with $540\ g$ water at $80\ ^oC$. The final temperature of the mixture is