Abnormal Molar Masses and Van't Hoff Factor
CHXII02:SOLUTIONS

319050 2 g of benzoic acid dissolved in 25 g \({{\rm{C}}_{\rm{6}}}{{\rm{H}}_{\rm{6}}}\) shows a depression in freezing point equal to 1.62 K. \({{\rm{K}}_{\rm{f}}}\,\,{\rm{for}}\,\,{{\rm{C}}_{\rm{6}}}{{\rm{H}}_{\rm{6}}}\,\,{\rm{is}}\,\,{\rm{4}}{\rm{.9}}\,\,{\rm{K}}\,\,{\rm{molalit}}{{\rm{y}}^{{\rm{ - 1}}}}\). If acid forms dimer molecule in solution, then the percentage association of acid is

1 \(90.2\% \)
2 \(99.2\% \)
3 \(9.8\% \)
4 \(0.8\% \)
CHXII02:SOLUTIONS

319051 Calculate Van’t Hoff-factor for 0.2 m aqueous solution of KCl which freezes at \({\rm{ - 0}}{\rm{.68}}{{\rm{0}}^{\rm{^\circ }}}{\rm{C}}\).
\(\left( {{{\rm{K}}_{\rm{f}}}{\rm{ = 1}}{\rm{.86K}}{\mkern 1mu} {\mkern 1mu} {\rm{mo}}{{\rm{l}}^{{\rm{ - 1}}}}} \right)\)

1 3.72
2 1.83
3 6.8
4 1.86
CHXII02:SOLUTIONS

319052 Pure benzene freezes at \(5.3^{\circ} \mathrm{C}\). A solution of \(0.223 \mathrm{~g}\) of phenylacetic acid \(\left(\mathrm{C}_{6} \mathrm{H}_{5} \mathrm{CH}_{2} \mathrm{COOH}\right)\) in \(4.4 \mathrm{~g}\) of benzene \(\left( {{{\rm{k}}_{\rm{f}}} = {\rm{5}}{\rm{.12}}\;{\rm{K}}\;{\rm{kg}}\;{\rm{mo}}{{\rm{l}}^{ - 1}}} \right){\rm{freezes}}{\mkern 1mu} {\mkern 1mu} {\rm{at}}{\mkern 1mu} {\mkern 1mu} {\rm{4}}{\rm{.47^\circ C}}\). From the observation, one can conclude that

1 phenylacetic acid exists as such in benzene
2 phenylacetic acid undergoes partial ionisation in benzene
3 phenylacetic acid undergoes complete ionisation in benzene
4 phenylacetic acid dimerises in benzene
CHXII02:SOLUTIONS

319053 Assertion :
Lowering of vapour pressure is directly proportional to the number of ions present in the solution.
Reason :
The vapour pressure of \(0.1 \mathrm{M}\) sugar solution is less than that of \(0.1 \mathrm{M}\) potassium chloride solution.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but Reason is correct.
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CHXII02:SOLUTIONS

319050 2 g of benzoic acid dissolved in 25 g \({{\rm{C}}_{\rm{6}}}{{\rm{H}}_{\rm{6}}}\) shows a depression in freezing point equal to 1.62 K. \({{\rm{K}}_{\rm{f}}}\,\,{\rm{for}}\,\,{{\rm{C}}_{\rm{6}}}{{\rm{H}}_{\rm{6}}}\,\,{\rm{is}}\,\,{\rm{4}}{\rm{.9}}\,\,{\rm{K}}\,\,{\rm{molalit}}{{\rm{y}}^{{\rm{ - 1}}}}\). If acid forms dimer molecule in solution, then the percentage association of acid is

1 \(90.2\% \)
2 \(99.2\% \)
3 \(9.8\% \)
4 \(0.8\% \)
CHXII02:SOLUTIONS

319051 Calculate Van’t Hoff-factor for 0.2 m aqueous solution of KCl which freezes at \({\rm{ - 0}}{\rm{.68}}{{\rm{0}}^{\rm{^\circ }}}{\rm{C}}\).
\(\left( {{{\rm{K}}_{\rm{f}}}{\rm{ = 1}}{\rm{.86K}}{\mkern 1mu} {\mkern 1mu} {\rm{mo}}{{\rm{l}}^{{\rm{ - 1}}}}} \right)\)

1 3.72
2 1.83
3 6.8
4 1.86
CHXII02:SOLUTIONS

319052 Pure benzene freezes at \(5.3^{\circ} \mathrm{C}\). A solution of \(0.223 \mathrm{~g}\) of phenylacetic acid \(\left(\mathrm{C}_{6} \mathrm{H}_{5} \mathrm{CH}_{2} \mathrm{COOH}\right)\) in \(4.4 \mathrm{~g}\) of benzene \(\left( {{{\rm{k}}_{\rm{f}}} = {\rm{5}}{\rm{.12}}\;{\rm{K}}\;{\rm{kg}}\;{\rm{mo}}{{\rm{l}}^{ - 1}}} \right){\rm{freezes}}{\mkern 1mu} {\mkern 1mu} {\rm{at}}{\mkern 1mu} {\mkern 1mu} {\rm{4}}{\rm{.47^\circ C}}\). From the observation, one can conclude that

1 phenylacetic acid exists as such in benzene
2 phenylacetic acid undergoes partial ionisation in benzene
3 phenylacetic acid undergoes complete ionisation in benzene
4 phenylacetic acid dimerises in benzene
CHXII02:SOLUTIONS

319053 Assertion :
Lowering of vapour pressure is directly proportional to the number of ions present in the solution.
Reason :
The vapour pressure of \(0.1 \mathrm{M}\) sugar solution is less than that of \(0.1 \mathrm{M}\) potassium chloride solution.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but Reason is correct.
CHXII02:SOLUTIONS

319050 2 g of benzoic acid dissolved in 25 g \({{\rm{C}}_{\rm{6}}}{{\rm{H}}_{\rm{6}}}\) shows a depression in freezing point equal to 1.62 K. \({{\rm{K}}_{\rm{f}}}\,\,{\rm{for}}\,\,{{\rm{C}}_{\rm{6}}}{{\rm{H}}_{\rm{6}}}\,\,{\rm{is}}\,\,{\rm{4}}{\rm{.9}}\,\,{\rm{K}}\,\,{\rm{molalit}}{{\rm{y}}^{{\rm{ - 1}}}}\). If acid forms dimer molecule in solution, then the percentage association of acid is

1 \(90.2\% \)
2 \(99.2\% \)
3 \(9.8\% \)
4 \(0.8\% \)
CHXII02:SOLUTIONS

319051 Calculate Van’t Hoff-factor for 0.2 m aqueous solution of KCl which freezes at \({\rm{ - 0}}{\rm{.68}}{{\rm{0}}^{\rm{^\circ }}}{\rm{C}}\).
\(\left( {{{\rm{K}}_{\rm{f}}}{\rm{ = 1}}{\rm{.86K}}{\mkern 1mu} {\mkern 1mu} {\rm{mo}}{{\rm{l}}^{{\rm{ - 1}}}}} \right)\)

1 3.72
2 1.83
3 6.8
4 1.86
CHXII02:SOLUTIONS

319052 Pure benzene freezes at \(5.3^{\circ} \mathrm{C}\). A solution of \(0.223 \mathrm{~g}\) of phenylacetic acid \(\left(\mathrm{C}_{6} \mathrm{H}_{5} \mathrm{CH}_{2} \mathrm{COOH}\right)\) in \(4.4 \mathrm{~g}\) of benzene \(\left( {{{\rm{k}}_{\rm{f}}} = {\rm{5}}{\rm{.12}}\;{\rm{K}}\;{\rm{kg}}\;{\rm{mo}}{{\rm{l}}^{ - 1}}} \right){\rm{freezes}}{\mkern 1mu} {\mkern 1mu} {\rm{at}}{\mkern 1mu} {\mkern 1mu} {\rm{4}}{\rm{.47^\circ C}}\). From the observation, one can conclude that

1 phenylacetic acid exists as such in benzene
2 phenylacetic acid undergoes partial ionisation in benzene
3 phenylacetic acid undergoes complete ionisation in benzene
4 phenylacetic acid dimerises in benzene
CHXII02:SOLUTIONS

319053 Assertion :
Lowering of vapour pressure is directly proportional to the number of ions present in the solution.
Reason :
The vapour pressure of \(0.1 \mathrm{M}\) sugar solution is less than that of \(0.1 \mathrm{M}\) potassium chloride solution.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but Reason is correct.
CHXII02:SOLUTIONS

319050 2 g of benzoic acid dissolved in 25 g \({{\rm{C}}_{\rm{6}}}{{\rm{H}}_{\rm{6}}}\) shows a depression in freezing point equal to 1.62 K. \({{\rm{K}}_{\rm{f}}}\,\,{\rm{for}}\,\,{{\rm{C}}_{\rm{6}}}{{\rm{H}}_{\rm{6}}}\,\,{\rm{is}}\,\,{\rm{4}}{\rm{.9}}\,\,{\rm{K}}\,\,{\rm{molalit}}{{\rm{y}}^{{\rm{ - 1}}}}\). If acid forms dimer molecule in solution, then the percentage association of acid is

1 \(90.2\% \)
2 \(99.2\% \)
3 \(9.8\% \)
4 \(0.8\% \)
CHXII02:SOLUTIONS

319051 Calculate Van’t Hoff-factor for 0.2 m aqueous solution of KCl which freezes at \({\rm{ - 0}}{\rm{.68}}{{\rm{0}}^{\rm{^\circ }}}{\rm{C}}\).
\(\left( {{{\rm{K}}_{\rm{f}}}{\rm{ = 1}}{\rm{.86K}}{\mkern 1mu} {\mkern 1mu} {\rm{mo}}{{\rm{l}}^{{\rm{ - 1}}}}} \right)\)

1 3.72
2 1.83
3 6.8
4 1.86
CHXII02:SOLUTIONS

319052 Pure benzene freezes at \(5.3^{\circ} \mathrm{C}\). A solution of \(0.223 \mathrm{~g}\) of phenylacetic acid \(\left(\mathrm{C}_{6} \mathrm{H}_{5} \mathrm{CH}_{2} \mathrm{COOH}\right)\) in \(4.4 \mathrm{~g}\) of benzene \(\left( {{{\rm{k}}_{\rm{f}}} = {\rm{5}}{\rm{.12}}\;{\rm{K}}\;{\rm{kg}}\;{\rm{mo}}{{\rm{l}}^{ - 1}}} \right){\rm{freezes}}{\mkern 1mu} {\mkern 1mu} {\rm{at}}{\mkern 1mu} {\mkern 1mu} {\rm{4}}{\rm{.47^\circ C}}\). From the observation, one can conclude that

1 phenylacetic acid exists as such in benzene
2 phenylacetic acid undergoes partial ionisation in benzene
3 phenylacetic acid undergoes complete ionisation in benzene
4 phenylacetic acid dimerises in benzene
CHXII02:SOLUTIONS

319053 Assertion :
Lowering of vapour pressure is directly proportional to the number of ions present in the solution.
Reason :
The vapour pressure of \(0.1 \mathrm{M}\) sugar solution is less than that of \(0.1 \mathrm{M}\) potassium chloride solution.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but Reason is correct.
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