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a geyser heats water flowing at the rate...

a geyser heats water flowing at the rate of 4 litrre per minute from `30^(@) "to" 85^(2) C`. If the geyser operates on a gas burner then the amount of heat used per minute is

A

`9.24xx10^(5)J`

B

`6.24xx10^(7)J`

C

`9.24xx10^(7)J`

D

`6.24xx10^(5)J`

Text Solution

Verified by Experts

The correct Answer is:
A
Here k,Volume of wster heated =4 litre `mi n^(-1)` 1 litre =1000g,
then mass of water `=4xx1000g min ^(-1)=4000g mi n^(-1)`
Rise in temperature
`DeltaT=T_(2)-T_(1)=(85-30)^(@)C=55^(@)C`
specific heat of water `S =4.2 J g^(-1)^(@)C^(-1)`
The amount of heat used, `DeltaQ =msDelta`
`=4000xx4.2xx55=924000`
`=9.24xx10^(5) J mi n^(-1)`
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Knowledge Check

  • A geyser heats water flowing at the rate of 4 litre per minute from 30^(@)C to 85^(@)C . If the geyser operates on a gas burner then the amount of heat used per minute is

    A
    `9.24 xx 10^(5)J`
    B
    `6.24 xx 10^(7)J`
    C
    `9.24 xx 10^(7)J`
    D
    `6.24 xx 10^(5) J`

  • A geyser heats water flowing at the rate of 3.0 liter per minute from 27^(@)C to 77^(@)C . If the geyser operates on a gas burner and its heat of combustion is 4.0 xx 10^(4) J//g , then what is the rate of combustion of fuel (approx.)?

    A
    `24 g//min`
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    `12 g//min`
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    A
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    B
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