Question

Certain quantity of water cools from 70^o C to 60^o C in the first 5 min and to 54^o C in the next 5 min. The temperature of the surroundings is,

45^o C

20^o C

42^o C

10^o C

Solution

45^o C

Assume, the temperature of the surrounding be t^o C.
Case 1:
$fraction numerator 70 space minus 60 over denominator 5 space min end fraction space equals space K space left parenthesis 65 to the power of o space C space minus space t to the power of o space C right parenthesis$
The average of 70 and 60 is 65.
$fraction numerator 10 over denominator 5 space min end fraction space equals space K space left parenthesis 65 to the power of o space C space minus space t to the power of o space C right parenthesis$ ... (i)
Case 2:
$fraction numerator 60 space minus space 54 over denominator 5 space min end fraction space equals space K space left parenthesis 57 space minus space t right parenthesis$ ... (ii)
Dividing equations (i) and (ii), we get
$10 over 6 equals fraction numerator left parenthesis 65 minus t right parenthesis over denominator left parenthesis 57 space minus t right parenthesis end fraction$
On solving, we get
Temperature, t = 45^o C

Some More Questions From Mechanical Properties of Fluids Chapter

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Mechanical Properties Of Fluids

Certain quantity of water cools from 70^o C to 60^o C in the first 5 min and to 54^o C in the next 5 min. The temperature of the surroundings is,

45^o C

20^o C

42^o C

10^o C

Some More Questions From Mechanical Properties of Fluids Chapter

Define Dulong and Pettit’s law of specific heat.

Who explained the correct variation of specific heat with temperature in the lower range of temperature?

What is the SI unit of molar specific heat?

Define heat capacity.

What are the units of heat capacity?

Define Dulong and Pettit’s law of specific heat.

Who explained the correct variation of specific heat with temperature in the lower range of temperature?

Do the gases have only one value of specific heat?

What is thermometry?

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For Daily Free Study Material Join wiredfaculty

Mechanical Properties Of Fluids

Certain quantity of water cools from 70o C to 60o C in the first 5 min and to 54o C in the next 5 min. The temperature of the surroundings is, 45o C 20o C 42o C 10o C

Some More Questions From Mechanical Properties of Fluids Chapter

Define Dulong and Pettit’s law of specific heat.

Who explained the correct variation of specific heat with temperature in the lower range of temperature?

What is the SI unit of molar specific heat?

Define heat capacity.

What are the units of heat capacity?

Define Dulong and Pettit’s law of specific heat.

Who explained the correct variation of specific heat with temperature in the lower range of temperature?

Do the gases have only one value of specific heat?

What is thermometry?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Certain quantity of water cools from 70^o C to 60^o C in the first 5 min and to 54^o C in the next 5 min. The temperature of the surroundings is,

45^o C

20^o C

42^o C

10^o C