Mixtures and Alligation

Two vessel of capacities $1L$ and $2t$ containing hydrogen at $300\ mm$ pressure and oxygen at $600\ mm$ pressure respectively are connected through a valve. If the temperature remains constant, the final pressure in $mm$ of the gaseous mixture will be

A $5 \ g$ piece of ice at $-20^oC$ is added into $50\ g$ of water at $20^oC$. Find the temperature of the mixture.($C_{ice}=0.5 \ cal/gm^oC$ and $L=80\ J/gm$)

Two liquid A and B are at $32^oC$ and $24^oC$. When mixed in equal masses temperature of mixture is found to be $28^oC$, Their specific heats are in the ratio of

$200 \ g$ of hot water at $80^{\circ}C$ is added to $300\ g$ of cold water at $10^{\circ}C$. Neglecting the heat taken by the container, calculate the final temperature of the mixture of water. Specific heat capacity of water = $44200\ J kg^{-1} K^{-1}$.

$2$ kg of a liquid at $\displaystyle { 100 }^{ \circ }C$ is poured in a bucket having the same liquid of mass $8$ kg at $\displaystyle { 12 }^{ \circ }C$. Find the final temperature of the mixture when its specific heat capacity is $\displaystyle 130J{ kg }^{ -1 }{ K }^{ -1 }$.

A liquid of specific heat $0.3 cal/g^{o}C$ at $90^{o}C$ is mixed with another liquid of specific heat $0.5 cal/g^{o}C$ at $15^{o}C$. If the resultant temperature of mixture is $60^{o}C$ then the ratio of their masses is:

There are $6.02 \times {10^{22}}$ molecules each of ${N_2},\,\,{O_2}\,\,{\text{and}}\,\,{H_2}$ which are mixed together at 760 mm and 273 K. The mass of total mixture in grams is

Ananya prepared 300 g of 35% solution of cane sugar She heated the solution for half an hour and found that the solution now weighed 130 g The amount of water evaporated during heating is __________

Water gas is an equi-molar mixture of hydrogen and carbon monoxide. If 250 litres of water gas is burnt in air. Assuming both reactants and products are at same temperature and pressure, the volume of $O_2$ required is _________. $2CO + O_2 \rightarrow 2CO_2; 2H_2 + O_2 \rightarrow 2H_2O$

Two liquids having vapor pressure $P_1^o$ and $P_2^o$ in pure state in the ratio of $2:1$ are mixed in the molar ratio of $1:2$. The ratio of their moles in the vapor state would be :