Physical Chemistry

The $\text{Cu}$ metal crystallises into fcc lattice with a unit cell edge length of $361\text{ pm}$. The radius of $\text{Cu}$ atom is:

A compound forms a hexagonal close-packed structure. What is the number of tetrahedral voids in $0.8\text{ mol}$ of it?

Which of the following defects are shown by $\text{KCl}$ crystal?

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Among the following statements, choose the correct statements:

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Atoms of element B form an hcp lattice and those of element A occupy $\frac{2}{3}\text{rd}$ of the tetrahedral voids. What is the formula of the compound formed by elements A and B?

Give the reason for low concentration of oxygen in the blood and tissues of people living at high altitude:

Calculate the molality of $\text{KI}$ if the density of $20\%\text{ (mass/mass)}$ aqueous solution of $\text{KI}$ is $1.202\text{ g mL}^{-1}$. (Molar mass of $\text{KI}$ is $166\text{ g mol}^{-1}$):

Arrange the following in decreasing order of number of molecules contained in:

Camphor in nitrogen gas is a type of solution:

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A drop of solution (volume $0.05\text{ mL}$) contains $3.0 \times 10^{-9}\text{ mole}$ of $\text{H}^+$ ions. If the rate constant of disappearance of $\text{H}^+$ is $1.0 \times 10^{-7}\text{ mol L}^{-1}\text{ s}^{-1}$, how long will it take for $\text{H}^+$ ions to disappear?

Calculate the molarity of a solution containing $5\text{ g}$ of $\text{NaOH}$ in $450\text{ mL}$ of solution:

The vapour pressure curve of a mixture of ethanol and acetone is higher than that of its constituents because:

Which of the following is not a correct expression for Dalton's law of partial pressures or Raoult's law of binary solutions?

The value of van 't Hoff factor, $i$, for $\text{CH}_3\text{COOH}$ solution in water will be:

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A molecule $\text{X}$ associates in a given solvent as per the following equation: $$n\text{X} \rightleftharpoons (\text{X})_n$$ For a given concentration of $\text{X}$, the van 't Hoff factor was found to be $0.80$ and the fraction of associated molecules was $0.3$. The correct value of '$n$' is:

Consider the following statements regarding osmotic pressure:

The unit of $E_{\text{cell}}$ is:

The standard reduction potential for $\text{Sn}^{4+}/\text{Sn}^{2+}$ is $+0.15\text{ V}$ and for $\text{Cr}^{3+}/\text{Cr}$ is $-0.74\text{ V}$. These two half-cells, coupled in their standard states, are connected to make a cell. The galvanic cell can be correctly represented by:

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Among the following statements related to ionic conductance, choose the correct statements:

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$\Lambda_m^\circ$ for $\text{NaCl}$, $\text{HCl}$, and $\text{CH}_3\text{COONa}$ (NaOAc) are $126.4$, $425.9$, and $91.0\text{ S cm}^2\text{ mol}^{-1}$ respectively. Calculate $\Lambda_m^\circ$ for acetic acid (HOAc):

The following statements describe various properties of a Mercury cell:

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Which cell is used in automobiles and inverters?

Read the following passage and answer questions 32 to 36: Battery or cell converts chemical energy of the redox reaction to electrical energy. In fuel cell (a galvanic cell), the chemical energy of combustion of fuels like $\text{H}_2$, ethanol, etc. are directly converted to electrical energy. In a fuel cell, $\text{H}_2$ and $\text{O}_2$ react to produce electricity, where $\text{H}_2$ gas is oxidised at anode and oxygen is reduced at cathode and the reactions involved are: $$\text{Anode reaction}: \text{H}_2 + 2\text{OH}^- \rightarrow 2\text{H}_2\text{O} + 2\text{e}^- \quad | \quad \text{Cathode reaction}: \text{O}_2 + 2\text{H}_2\text{O} + 4\text{e}^- \rightarrow 4\text{OH}^-$$ $67.2\text{ L}$ of $\text{H}_2$ at STP reacts in $15\text{ minutes}$.

The number of moles of hydrogen oxidised is:

(Based on Fuel Cell Passage) The number of moles of electrons produced in the oxidation of $67.2\text{ L}$ of $\text{H}_2$ at STP is:

(Based on Fuel Cell Passage) The quantity of electricity produced in the oxidation of $67.2\text{ L}$ of $\text{H}_2$ at STP is:

(Based on Fuel Cell Passage) If the entire current produced is used for the electrodeposition of Silver (at. wt. $108\text{ g mol}^{-1}$) from Silver (I) solution, the amount of silver deposited will be:

(Based on Fuel Cell Passage) The source of electrical energy on the Apollo moon flight was:

The cell reaction occurring at the anode in the electrolysis of aqueous $\text{NaCl}$ solution is:

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How much charge is required for the reduction of $1\text{ mol}$ of $\text{MnO}_4^-$ to $\text{Mn}^{2+}$?

The products formed at the cathode and anode by the electrolysis of aqueous $\text{NaCl}$ solution respectively are:

(Based on Chemical Kinetics Passage) Calculate the order of a reaction whose $\text{Rate} = k [\text{A}]^{1/2} [\text{B}]^{3/2}$:

(Based on Chemical Kinetics Passage) The rate law of a reaction is given by $r = k[\text{CH}_3\text{OCH}_3]^{3/2}$. If the pressure is measured in bar and time in minutes, then the unit of rate constant will be:

(Based on Chemical Kinetics Passage) If the rate of reaction becomes twenty-seven times upon increasing the concentration of reactant by three times, the order of this reaction is:

For the following reaction: $$2\text{A}_2 (g) + \frac{1}{4} \text{X} (g) \rightarrow 2\text{A}_2\text{X} (g)$$ Volume is increased to double its value by decreasing the pressure on it. If the reaction is first order with respect to $\text{X}$ and second order with respect to $\text{A}_2$, the rate of reaction will:

Identify the order of reaction if its rate constant is $k = 2 \times 10^{-2}\text{ s}^{-1}$:

For a complex reaction, the order of reaction is equal to:

Which of the following is not correct about the order of a reaction?

The rate constant $k$ for a certain reaction is $k = 2.3 \times 10^{-5}\text{ L mol}^{-1}\text{ s}^{-1}$. The order of the reaction is:

The decomposition of $\text{NH}_3$ on platinum surface is a zero order reaction. If $k = 2.5 \times 10^{-4}\text{ mol L}^{-1}\text{ s}^{-1}$, the rate of production of $\text{H}_2$ is:

The molecularity of the following elementary reaction is: $$\text{NH}_4\text{NO}_2 \rightarrow \text{N}_2 + 2\text{H}_2\text{O}$$

If $75\%$ of a first order reaction gets completed in $32\text{ minutes}$, time taken for $50\%$ completion of this reaction is:

The half-life of a first order reaction is $25\text{ minutes}$. Its rate constant is:

The gold number range of some of the lyophilic colloids is given below: $$\text{A}: 0.005 - 0.01, \quad \text{B}: 0.15 - 0.25, \quad \text{C}: 0.04 - 1.0, \quad \text{D}: 15 - 25$$ Which among these can be used as a better protective colloid?

The minimum concentration of an electrolyte in millimoles per litre which is required to cause the precipitation of a sol in two hours is called as:

According to the official NTA key, which of the following electrolytes has the maximum coagulating effectiveness for positively charged $\text{AgI}/\text{Ag}^+$ sol?

Which of the following statements is correct about a catalyst?

In the Freundlich adsorption isotherm, the value of $\frac{1}{n}$ is:

Which of the following is not a characteristic of physisorption?

Which one of the following is an emulsion?

[DROPPED QUESTION BY NTA - Full marks awarded to all candidates]

Which of the following is a positively charged sol?