Home
Class 12
CHEMISTRY
For a perfectly crystalline solid C(p.m....

For a perfectly crystalline solid `C_(p.m.)=aT^(3)+bT`,where a and b constant . If `C_(p.m.)is 0.40J//Kmol` at 10K and `0.92J//K "mol" at 20K` then molar entropy at 20k is:

A

`0.92 J//K mol`

B

`8.66 `J/k mol

C

`0.813 J//K mol`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
`0.40 = aT_(1)^(3) + bT_(1) " " implies " " 0.40 = a xx (1000) + b xx 10 implies 0.4 =1000a + 10b " ""…."(1)`
`0.92 = aT_(2)^(3) + bT_(2) " "implies " "0.92 = a xx 9000 + 20b" "….(2)`
From Eqs. (1) and (2)
`" "a=2xx10^(-5) , b = 0.038`
`" "S_(n) = int(aT^(3) + bT)/(T).dT " "=(a[T_(2)^(3) - T_(1)^(3)])/(3) + b[T_(2) - T_(1)] = 0.427` J/K- mol
Promotional Banner

Topper's Solved these Questions

  • THERMODYNAMICS

    RESONANCE|Exercise exercise-2 Part:(II): Single and Double value integer type|13 Videos

  • THERMODYNAMICS

    RESONANCE|Exercise exercise-2 Part:(III): One or more than one options correct|10 Videos

  • THERMODYNAMICS

    RESONANCE|Exercise exercise-3 Part:(III) : Match the column|3 Videos

  • TEST SERIES

    RESONANCE|Exercise CHEMISTRY|50 Videos

Similar Questions

Explore conceptually related problems

For a perfectly crystalline solid C_(p,m)=aT^(3)+bT , where a and b are constant. If C_(p,m) is 0.40 J/K mol at 10 K and 0.92 J/K mol at 20 K, then molar entropy at 20 K is :

For a perfectly crystalline solid C_("p,m") =T^(3)+bT , where a & b are constant . If C_("p,m") is 0.04 J//k-"mole" at 10 K and io 0.92 J//K-"mole" at 20 k, Then molar entropy at 20 k is.

For a perfectly crystalline solid C_(p.m.)=aT^(3) , where ais constant. If C_(p.m.) is 0.42.J//K-"mol" at 10K, molar entropy at 10K is:

For a perfectly crystaline solid C_(p.m)=aT^(3) , where a is constant. If C_(p.m) is 0.42J//K-mol at 10 K , molar entropy at 10 K is:

Entropy of perfectly crystalline solid is taken as zero at 0 K.

V = k((P)/(T))^(0.33) where k is constant. It is an,

Heat capcaity of a solid A(s) given by aT^(3) in vicinity at abbsolute zero . Taking heat capacity to be aT^(3) ferom 0 K and 10 K, from 10 K to noramal M.P at 150 K and c from 150 K to 200 K , find the absolute entropy of A(l) at 200 K . Given a=0.5xx10^(-3) J(" k mole" ) b=15 J (K mole) c=20 J (K mole) DeltaH_(fusion)=+30 KJ// "mole"

The molar internal enegry of a gas over a temperature range is expressed as: U_(m) (T) =a +bT +cT^(2) , where b = 16 J mol^(-1)K^(-1) and c = 6 xx 10^(-3) J mol^(-1)K^(-2) . Find: a. C_(V,m)at 300K b. The entropy change when 1 mol of a gas is heated from 300K to 600K at constant volume.

A sample of an ideal gas is expanded to twice its original volume of 1m^(3) in a reversible process for which P = alphaV^(2) , where alpha = 5 atm m^(-6) . If C_(V,m) = 20 J mol^(-1)K^(-1) , determine moalr change in entropy (DeltaS_(m)) for the process.

The C_(p) and C_(v) of a gas are 20.834 and 12.520 J K^(-1) "mol"^(-1) respectively.What is the atomicity of the gas.

RESONANCE-THERMODYNAMICS-exercise-2 Part:(I) :Only one option correct
  1. If a refrigerator's door is opened , then we get

    Text Solution

    |

  2. Which of the following statement (s) is correct? Statement-I: The en...

    Text Solution

    |

  3. During winters , moisture condenses in the form of dew and can be seen...

    Text Solution

    |

  4. Which of the following option the first compound has less entropy than...

    Text Solution

    |

  5. Select the correct statenent (s) : S(1) : AICI(3) when dissolve in H...

    Text Solution

    |

  6. When CH(3)OH(l) is mixed in water:

    Text Solution

    |

  7. Although graphite is thermodynamically most stable allotrope of Carbon...

    Text Solution

    |

  8. Isoentropic process is

    Text Solution

    |

  9. According to third law of thermodynamics

    Text Solution

    |

  10. One mole of an ideal diatomic gas (C(v) =5 cal) was transformed from i...

    Text Solution

    |

  11. By how much does the entropy of 3 mole of an ideal gas change in goin...

    Text Solution

    |

  12. For a perfectly crystalline solid C(p.m.)=aT^(3)+bT,where a and b cons...

    Text Solution

    |

  13. The hydrolysis of Adienosine triphisphate [ATP] to give adienosine dip...

    Text Solution

    |

  14. Select correct statements: S(1) : For every chemical reaction at equ...

    Text Solution

    |

  15. Combustion of sucrose is used by aerobic organisms for providing energ...

    Text Solution

    |

  16. Given the following data: {:("Substance", DeltaH^(@)"(KJ//mol)", S^(...

    Text Solution

    |

  17. For the hypothetical reaction A(2)(g) + B(2)(g) hArr 2AB(g) If Delt...

    Text Solution

    |

  18. NH(4)CI(s) + aq rarr NH(4)^(+)(aq) + CI^(-1)(aq) DeltaH=+15.1 KJ mol...

    Text Solution

    |