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
- A
$\frac{{{c_1}{T_1}\, +\, {c_2}{T_2} \,+\, {c_3}{T_3}}}{{{m_1}{c_1}\, +\, {m_2}{c_2} \,+\, {m_3}{c_3}}}$
- B
$\frac{{{m_1}{c_1}{T_1}\, +\, {m_2}{c_2}{T_2} \,+ \,{m_3}{c_3}{T_3}}}{{{m_1}{c_1} \,+\, {m_2}{c_2} \,+\, {m_3}{c_3}}}$
- C
$\frac{{{m_1}{c_1}{T_1} \,+\, {m_2}{c_2}{T_2} \,+\, {m_3}{c_3}{T_3}}}{{{m_1}{T_1} \,+\, {m_2}{T_2} \,+\, {m_3}{T_3}}}$
- D
$\frac{{{m_1}{T_1} \,+\, {m_2}{T_2} \,+\, {m_3}{T_3}}}{{{c_1}{T_1} \,+ \,{c_2}{T_2} \,+\, {c_3}{T_3}}}$
Similar Questions
Steam at $100\,^oC$ is passed into $22\,g$ of water at $20\,^oC$. The mass of water that will be present when the water acquires a temperature of $90\,^oC$ (Latent heat of steam is $540\, cal/g$ ) is ............ $\mathrm{g}$
Steam at $100\,^oC$ is passed into $22\,g$ of water at $20\,^oC$. The mass of water that will be present when the water acquires a temperature of $90\,^oC$ (Latent heat of steam is $540\, cal/g$ ) is ............ $\mathrm{g}$
Some steam at $100^o \,\,C$ is passed into $1.1 \,\,kg$ of water contained in a calorimeter of water equivalent $0.02\,\, kg$ at $15^o C$ so that the temperature of the calorimeter and its contents rises to $80^o \,\,C$. What is the mass of steam condensing. (in $kg$)
Some steam at $100^o \,\,C$ is passed into $1.1 \,\,kg$ of water contained in a calorimeter of water equivalent $0.02\,\, kg$ at $15^o C$ so that the temperature of the calorimeter and its contents rises to $80^o \,\,C$. What is the mass of steam condensing. (in $kg$)
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
The temperature of a body on Kelvin scale is found to be $X\;K$. When it is measured by a Fahrenheit thermometer, it is found to be ${X^0}F$. Then $X$ is
The temperature of a body on Kelvin scale is found to be $X\;K$. When it is measured by a Fahrenheit thermometer, it is found to be ${X^0}F$. Then $X$ is
A flask of volume $10^3\ cc$ is completely filled with mercury at $0\,^oC$. The coefficient of cubical expansion of mercury is $180 \times 10^{-6}/^oC$ and that of glass is $40 \times 10^{-6}/^oC$. If the flask is now placed in boiling water at $100\,^oC$, ........ $cc$ mercury will overflow
A flask of volume $10^3\ cc$ is completely filled with mercury at $0\,^oC$. The coefficient of cubical expansion of mercury is $180 \times 10^{-6}/^oC$ and that of glass is $40 \times 10^{-6}/^oC$. If the flask is now placed in boiling water at $100\,^oC$, ........ $cc$ mercury will overflow