Home
Class 11
PHYSICS
Boiling water: Suppose 1.0 g of water va...

Boiling water: Suppose 1.0 g of water vaporizes isobarically at atmospheric pressure `(1.01xx10^5 Pa)`. Its volume in the liquid state is `V_i=V_(liqu i d)=1.0cm^3` and its volume in vapour state is `V_f=V_(vapour)=1671 cm^3`. Find the work done in the expansion and the change in internal energy of the system. Ignore any mixing of the stream and the surrounding air. Take latent heat of vaporization `L_v=2.26xx10^6J//kg`.

Text Solution

Verified by Experts

The correct Answer is:
A, B
Because the expansion takes place at constant pressure, the work done is
`W=int_(V_i)^(V_f)p_0dV=p_0int_(V_i)^(V^f)dV=p_0(V_f-V_i)`
`=(1.01xx10^5)(1671xx10^-6-1.0xx10^-6)`
`=169J`
`Q=mL_v=(1.0xx10^-3)(2.26xx10^6)`
`=2260J`
Hence, from the first law, the change in internal energy
`DeltaU=Q-W=2260-169`
`=2091J`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • LAWS OF THERMODYNAMICS

    DC PANDEY|Exercise Example Type 2|1 Videos

  • LAWS OF THERMODYNAMICS

    DC PANDEY|Exercise Example Type 3|1 Videos

  • LAWS OF THERMODYNAMICS

    DC PANDEY|Exercise Level 2 Subjective|18 Videos

  • LAWS OF MOTION

    DC PANDEY|Exercise Medical entrances gallery|39 Videos

  • MAGNETIC EFFECT OF CURRENT AND MAGNETISM

    DC PANDEY|Exercise Integer type Questions|10 Videos

Similar Questions

Explore conceptually related problems

5.00 kg of liquid water is heated to 100. 0^@ C in a closed system At this temperature , the density of liquid water is 958 kg/ m^3 . The pressure is maintained at atmospheric pressure of 1.01 xx 10^5 Pa. A moveable piston of negligible weight rests on the surface of the water. The water is then converted to steam by adding an additional amount of heat to the system. When all of the water is converted, the final volume of the steam is 8.50 m^3 . The latent heat of vaporization of water is 2.26 xx 10^6 J/kg. What is the change in the internal energy during this isothermal process?

5.00 kg of liquid water is heated to 100. 0^@ C in a closed system At this temperature , the density of liquid water is 958 kg/ m^3 . The pressure is maintained at atmospheric pressure of 1.01 xx 10^5 Pa. A moveable piston of negligible weight rests on the surface of the water. The water is then converted to steam by adding an additional amount of heat to the system. When all of the water is converted, the final volume of the steam is 8.50 m^3 . The latent heat of vaporization of water is 2.26 xx 10^6 J/kg. How much work is done by this closed system during this isothermal process?

Knowledge Check

  • 1 g of water, of volume 1 cm^3 at 100^@C , is converted into steam at same temperature under normal atmospheric pressure (= 1 xx 10^5 Pa) . The volume of steam formed equals 1671 cm^3 . If the specific latent heat of vaporisation of water is 2256 J/g, the change in internal energy is

    A
    2256 J
    B
    2423 J
    C
    2089 J
    D
    167J

  • Unit mass of liquid of volume V_(1) completely turns into a gas of volume V_(2) at constant atmospheric pressure P and temperature T. The latent heat of vaporization is "L". Then the change in internal energy of the gas is

    A
    L
    B
    `L+P(V_(2)-V_(1))`
    C
    `L-P(V_(2)-V_(1))`
    D
    Zero

  • 1 g of water in liquid phase has volume 1 cm^(3) and in vapour phase 1671 cm^(3) at atmospheric pressure and the latent heat of vaporization of water is 2256 J/g, the change in the internal energy in joules for 1 g of water of 373K when it changes from liquid phase to vapour phase at the same temperature is:

    A
    2256
    B
    167
    C
    2089
    D
    1

    • Similar Questions

    Explore conceptually related problems

    5.00 kg of liquid water is heated to 100. 0^@ C in a closed system At this temperature , the density of liquid water is 958 kg/ m^3 . The pressure is maintained at atmospheric pressure of 1.01 xx 10^5 Pa. A moveable piston of negligible weight rests on the surface of the water. The water is then converted to steam by adding an additional amount of heat to the system. When all of the water is converted, the final volume of the steam is 8.50 m^3 . The latent heat of vaporization of water is 2.26 xx 10^6 J/kg. How much heat is added to the system in the isothermal process of converting all of the water into steam?

    1g of water changes from liquid to vapour phase at constant pressure of 1 atmosphere, the volume increases from 1 mL to 1671 mL . The heat of vaporisation at this pressure is 540 cal//g . Find the: (a) Work done (in J )during phase change. (b) Increase in internal energy of water.

    One gram of water (1 cm^3) becomes 1671 cm^3 of steam when boiled at a constant pressure of 1 atm (1.013xx10^5Pa) . The heat of vaporization at this pressure is L_v=2.256xx10^6J//kg . Compute (a) the work done by the water when it vaporizes and (b) its increase in internal energy.

    Calculate the entropy change when one mole of water at 373 K is converted into steam. Latent heat of vaporisation of water (DeltaH_(v)) is 40.7 xx 10^(3) J mol^(-1)

    At 1 atmospheric pressure, 1.000 g of water having a volume of 1.000 cm^3 becomes 1671 cm^3 of steam when boiled. The heat of vaporization of water at 1 atmosphere is 539 cal//g . What is the change in internal energy during the process ?

    Home
    Profile