Quantitative Aptitude

Mixtures and Alligation

1,816 Questions

All Direct removal and addition 448 Alligation cross rule 270 Ratios, quantities, and percentages 233 Weighted mean and concentration 195 Equal quantity replacement 189 Three or more components 174 Repeated equal-volume replacement 154 Profit-based alligation 153

Mixtures and Alligation Questions

Multiple choice

Two thermally insulated vessels 1 and 2 are filled with air at temperature $(T_1,\, T_2)$, volumes $(V_1,\, V_2)$ and pressure $(P_1,\, P_2)$ respectively. If the value joining the two vessels is opened, the temperature inside the vessel at equilibrium will be (P = common pressure)

$T_1\,+\, T_2$
$(T_1\, +\, T_2)/2$
$\displaystyle \frac{T_1\, T_2\, P(V_1\, +\, V_2)}{P_1V_1T_2\, +\, P_2V_2T_1}$
$\displaystyle \frac{T_1\, T_2\, (P_1V_1\, +\, P_2V_2)}{P_1V_1T_2\, +\, P_2V_2T_1}$

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Multiple choice

A mixture of 4g of hydrogen and 8 g of helium at NPT has a density about

$0.22kg/m^{3}$
$0.62kg/m^{3}$
$1.12kg/m^{3}$
$0.13kg/m^{3}$

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Multiple choice

A closed vessel contains a mixture of two gases Neon & Argon the total mass of mixture is 28 gm.The partial pressure due to Argon and neon are 4atm and 12atm respectively.The mass of individual gases in vessel is $(M_{neon}=20,M_{argon}=40,R=8.3J/mol-k)$

4gm,24gm
1gm,27gm
6gm,22gm
2gm,26gm

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Multiple choice

A mixture contains $N_{2}O_{4}$ and $NO_{4}$ in $2:1$ ratio by volume. The vapour density of the mixture is:

$45.4$
$49.8$
$32.6$
$38.3$

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Multiple choice

At ${20}^{o}C$ and $1.00atm$ partial pressure of hydrogen, $10mL$ of hydrogen, measured at STP, dissolves in $1L$ of water. If water at ${20}^{o}C$ is exposed to a gaseous mixture having a total pressure of $1400$ Torr (excluding the vapour pressure of water) and containing $68.5$% ${H}{2}$ by volume, find the volume of ${H}{2}$, measured at STP, which will dissolve in $1L$ of water.

$18mL$
$12mL$
$23mL$
$121mL$

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Multiple choice

Vapour density of mixture of ${ NO }{ 2 }$ and ${ N }{ 2 }{ O }{ 4 }$ is 34.5, then percentage abundance of ${ NO }{ 2 }$ in mixture is:

50%
25%
40%
60%

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Multiple choice

V, Litre of solution A (Resistance = 50ohm) is mixed with $V_2$ Litre of solution B (Resistance = 100) Resistance of final solution is 80 ohm then $\frac { V_2 }{ V_1 } $ will be: (using same cell)

$1$
$2$
$3$
$4$

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Multiple choice

Ice in a freezer is at $-7^{\circ}C. 100\ g$ of this ice is mixed with $200\ g$ of water at $15^{\circ}C$. Take the freezing temperature of water to be $0^{\circ}C$, the specific heat of ice equal to $2.2\ J/g^{\circ}C$, specific heat of water equal to $4.2\ J/g^{\circ}C$, and the latent heat of ice equal to $335\ J/g$. Assuming no loss of heat to the environment, the mass of ice in the final mixture is closest to

$88\ g$
$67\ g$
$54\ g$
$45\ g$

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Multiple choice

A sample of an ethanol-water solution has a volume of $55.0\ cm^{3}$ and mass of $50.0\ g$. What is the percentage of ethanol (by mass) in the solution ? Assume that there is no change in volume when the pure compounds are mixed. The density of ethanol is $0.80\ g/cm^{3}$ and that of water is $1.00\ g/cm^{3}$

$20\%$
$40\%$
$60\%$
$45.45\%$

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Multiple choice

A mixture of $AgCl$ and $AgBr$ undergoes a loss in wt. by $5$% if it is exposed to excess chlorination. The % of $AgCl$ in the mixture.

$21.12$%
$78.88$%
$5$%
$95$%

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Multiple choice

$50\ ml$ of mixture of $NH_{3}$ and $H_{2}$ are decomposed to yield $N_{2}$ and $H_{2}$ and to the resulting mixture $40\ ml\ O_{2}$ is added and the mixture is sparked to yield $H_{2}O$. When the resulting mixture of gases were passed through alkaline pyrogallol $6\ ml$ contraction was observed. Calculate the percentage composition of $NH_{3}$ in the original mixture.

$85\%$
$72\%$
$65\%$
$90\%$

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Multiple choice

A glass bulb contains 2.24 L of H2 and 1.12 L of D2 at STP. It is connected to a fully evacuated bulb by a stop-cock with a small opening. The stop-cock is opened for sometime and then closed. The first bulb now contains 0.10 g of $H_2$. The percentage of $ H_{2}$ in the mixture is

$41.6\%$
$58.4\%$
$41.2\%$
$50\%$

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Multiple choice

A mixture of $Nal$ and $Nacl$ on reaction with ${H_2}S{O_4}$ gave $N{a_2}S{O_4}$ equal to weight of original mixture taken. The percentage of $Nal$ in the mixture is

$82.38$
$26.38$
$62.38$
$28.38$

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Multiple choice

A student forgot to add the reaction mixture to the round-bottomed flask at $27^o$C but put it on the flame. After a lapse of time, he realized his mistake. Using a pyrometer, he found the temperature of the flask as $477^o$C. What fraction of air would have been expelled out?

$5/3$
$3/5$
$2/5$
$3/2$

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Multiple choice

If $0.5$ g of a mixture of two metals, $A$ and $B$ with respective equivalent weights, $12$ and $9$ displaces $560$ mL of $H$ at STP from an acid, the composition of the mixture is :

$40\% A, 60\% B$
$60\% A, 40\% B$
$30\% A, 70\% B$
$70\% A, 30\% B$

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