Home
Class 11
PHYSICS
The heat capacity per mole of water is (...

The heat capacity per mole of water is (R is universal gas constant)

A

9R

B

`9/2R`

C

6R

D

5R

Text Solution

Verified by Experts

The correct Answer is:
A

Water is treated like a solid. For each atom average energy `= 3k_BT`
The total energy of one mole of water = `DeltaU=3 xx 3k_B T xx N_A` [as water molecule has three atoms]
=9RT
`C=(DeltaQ)/(DeltaT)=(DeltaU)/(DeltaT)=9R`
Promotional Banner

Topper's Solved these Questions

  • KINETIC THEORY OF GASES

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Pressure and Energy)|31 Videos
  • KINETIC THEORY OF GASES

    ERRORLESS|Exercise PAST YEARS QUESTIONS|28 Videos
  • KINETIC THEORY OF GASES

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Speed of Gas)|24 Videos
  • GRAVITATION

    ERRORLESS|Exercise Assertion and Reason |25 Videos
  • MOTION IN ONE DIMENSION

    ERRORLESS|Exercise ASSERTION AND REASON|24 Videos

Similar Questions

Explore conceptually related problems

A gas undergoes a process such that P prop(1)/(T) .If the molar heat capacity for this process is 4.5R ( R is universal gas constant),find the degree of freedom of the molecules of the gas.

Helium gas is subjected to a polytropic process in which the heat supplied to the gas is four times the work done by it. The molar heat capacity of the gas for the process is: (R is universal gas constant)

Molar specific heat at constant volume for an ideal gas is given by C_(v)=a+bT (a and b are constant), T is temperature in Kelvin, then equation for adiabatic process is ( R is universal gas constant)

If a monoatomic gas undergoes a thermodynamic proces for which its molar heat capacity is equal to the universal gas constant. What is the process in terms of V and T ?

What does universal gas constant R signify?

In a thermodynamic process helium gas obeys the law TP^(-2//5) = constant. The heat given to the gas when the temperature of 2 moles of the gas is raised from T to 4T (R is the universal gas constant) is :

In a thermodynamic process two moles of a monatomic ideal gas obeys PV^(–2)=constant . If temperature of the gas increases from 300 K to 400 K, then find work done by the gas (Where R = universal gas constant)

The amount of heat needed to raise the temperature of 4 moles of a rigid diatomic gas from 0^(@)C" to "50^(@)C when no work is done is _______(R is the universal gas constant)

ERRORLESS-KINETIC THEORY OF GASES -NCERT BASED QUESTIONS (Degree of Freedom and Specific Heat)
  1. The ratio of specific heats (Cp//Cv) in case of gases of diatomie mol...

    Text Solution

    |

  2. The specific heat at constant pressure is greater than that for the sa...

    Text Solution

    |

  3. Which of the following formula is wrong?

    Text Solution

    |

  4. For the specific heat of 1 mole of an ideal gas at constant pressure (...

    Text Solution

    |

  5. The molar specific heat at constant pressure of an ideal gas is (7//2 ...

    Text Solution

    |

  6. The molar heat capacity at constant volume of oxygen gas at STP is nea...

    Text Solution

    |

  7. Two cylinders of equal size are filled with equal amount of ideal diat...

    Text Solution

    |

  8. The relation Cp-Cv=R(Cp,Cv): Molar specific heats at constant pressure...

    Text Solution

    |

  9. For a certain gas the ratio of specific heat is given to be gamma=1.5 ...

    Text Solution

    |

  10. An ideal mono-atomic gas of given mass is heated at constant pressure....

    Text Solution

    |

  11. 310 J of heat is required to rise the temperature of 2 moles of an ide...

    Text Solution

    |

  12. 5 mole of oxygen are heated at constant volume from 10^(@)C "to" 20^(@...

    Text Solution

    |

  13. The heat capacity per mole of water is (R is universal gas constant)

    Text Solution

    |

  14. Forty calories of heat is needed to raise the temperature of 1 mol of ...

    Text Solution

    |

  15. The ratio of the speed of sound to the average speed of an air molecul...

    Text Solution

    |

  16. For a gas if ratio of specific heats at constant pressure and volume i...

    Text Solution

    |

  17. One mole of ideal monoatomic gas (gamma=5//3) is mixed with one mole o...

    Text Solution

    |

  18. When an ideal diatomic gas is heated at constant pressure, the fractio...

    Text Solution

    |

  19. 10 moles of an ideal monoatomic gas at 10^(@)C are mixed with 20 moles...

    Text Solution

    |

  20. Internal energy of n1 moles of hydrogen at temperature 150 K is equal ...

    Text Solution

    |