JEE chemistry

Sponsor Area

Question
CBSEENCH11008066

A piston filled with 0.04 mol of an ideal gas expands reversibly from 50.0 mL to 375 mL at a constant temperature of 37.00C. As it does so, it absorbs 208J of heat. The values of q and w for the process will be:(R = 8.314 J/mol K) ( ln 7.5 = 2.01)

  • q =+208J, W = - 208 J

  • q =-208 J, W =-208 J

  • q=-208J, W = +208 J

  • q =+208 J, W = +208 J

Solution

A.

q =+208J, W = - 208 J

From first law of thermodynamics, ΔE = q+W for an isothermal expansion. 
Hence, q =-W
q= +208 J
W =-208 J [expansion work]

Sponsor Area

Question
CBSEENCH11008067

For the gaseous state, if most probable speed is denoted by C*, average speed by C and mean square speed by C, then for a large number of molecules the ratios of these speeds are:

  • straight C asterisk times colon stack space straight C with bar on top space colon thin space straight C space equals space 1.225 space colon 1.128 space space colon 1
  • straight C to the power of asterisk times space colon thin space straight C with bar on top space colon space straight C space equals space 1.128 space colon thin space 1.225 space colon space 1
  • straight C to the power of asterisk times space colon thin space straight C with bar on top space colon space straight C space equals space 1.28 space colon thin space 1.225 space colon space
  • straight C to the power of asterisk times space colon thin space straight C with bar on top space colon space straight C space equals 1.225 space colon space 1. space 128 space

Solution

C.

straight C to the power of asterisk times space colon thin space straight C with bar on top space colon space straight C space equals space 1.28 space colon thin space 1.225 space colon space straight C asterisk times space equals space Most space probable space speed space equals space square root of fraction numerator 2 RT over denominator straight M end fraction end root
straight C with bar on top space equals space Average space speed space equals space square root of fraction numerator 8 RT over denominator πM end fraction end root
straight C space equals space Mean space square space speed space corrected space as space rms space equals space square root of fraction numerator 3 RT over denominator straight M end fraction end root
straight C asterisk times space less than space straight C with bar on top space less than space straight C
straight C asterisk times space colon space straight C with bar on top space colon space straight C space equals 1 space colon thin space square root of 4 over straight pi end root colon square root of 3 over 2 end root
space equals space 1 colon space 1.128 colon space 1.225

Question
CBSEENCH11008069

A gaseous hydrocarbon gives upon combustion 0.72 g of water and 3.08 g of CO2.The empirical formula of the hydrocarbon is 

  • C2H4

  • C3H4

  • C6H5

  • C7H8

Solution

D.

C7H8

18 g H2O contains 2gH
therefore, 0.72 g H2O contains 0.08 g H
44 g CO2 contains 12 g C
therefore, 3.08 g CO2 contains 0.84 g C
∴ C:H = 0.84/12: 0.08/1
 + 0.07 : 0.08 = 7:8
∴Empirical formula = C7H8

Question
CBSEENCH11008070

In which of the following pairs of molecules/ions, both the species are not likely exist?

  • straight H subscript 2 superscript plus comma space He subscript 2 superscript 2 minus end superscript
  • straight H subscript 2 superscript minus comma space He subscript 2 superscript 2 minus end superscript
  • straight H subscript 2 superscript 2 plus end superscript comma He subscript 2
  • straight H subscript 2 superscript minus comma space He subscript 2 superscript 2 plus end superscript

Solution

C.

straight H subscript 2 superscript 2 plus end superscript comma He subscript 2

species which have zero or negative bond order does not exist.

Question
CBSEENCH11008071

Which of the following exists as covalent crystals in the solid state?

  • Iodine

  • Silicon

  • Sulphur

  • Phosphorus

Solution

B.

Silicon

D.

Phosphorus

Silicon (Si) – covalent solid
Sulphur (S8) – molecular solid
Phosphorous (P4) – Molecular solid
Iodine (I2) – Molecular solid