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5.00 kg of liquid water is heated ...

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?

A

`8.37 J`

B

`4.20 xx 10^3 J`

C

`1.21 xx 10^4 J`

D

`8.58 xx 10^5 J`

Text Solution

Verified by Experts

The correct Answer is:
D
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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?

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?

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

  • What is the pressure at the bottom of the ocean at a place where it is 3 km deep ? [atmospheric pressure =1.01 xx10^(5)Pa, Density of sea water =1030kg m ^(-30)]

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    `1.01xx10^(5)Pa`
    B
    `3xx10^(5)Pa`
    C
    `1.01xx10^(7)Pa`
    D
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  • A small air bubble of 0.1 mm diameter is formed just below the surface of water. If surface tension tension of water is 0.072 Nm^(-1) , the pressure inside the air bubble in kilo pascal is (Atmospheric pressure =1.01xx10^(5)Pa )

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    28.9
    B
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    C
    0.0289
    D
    103.88

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