40 gram of water at 60° C is poured into a vessel containing 50 g of water at 20° C . the final temperature of mixture is 30°C taking the specific heat capacity of water as 4.2 J g^-1 k^-1, calculate the thermal capacity of the vessel.
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ANSWERS :-
Let thermal capacity of vessel be C' J K ^-1
Heat energy given by hot water
= mass of hot water * specific heat capacity * fall in temperature.
= 40 * 4.2 * ( 60 – 30 ) = 5040J .…...(i)
Heat energy taken by cold water
= mass of cold water * specific heat capacity * rise in temperature
= 50 * 4.2 * (30 - 20 ) = 2100J ..........(ii)
Heat energy taken by vessel
= thermal capacity of vessel * rise in temperature
= C ' * ( 30 - 20 ) = 10 C ' J
If there is no loss of heat energy,
Heat energy given by hot water
= Heat energy taken by cold water + Heat energy taken by vessel.
or,
5040 = 2100 + 10 C'
or,
10 C ' = 2940
or,
C ' = 2940/10 = 294 J k^-1
Thus,
thermal capacity of vessel = 294 J K ^-1
______________________________
❤BE BRAINLY ❤
-------------------------------
Let thermal capacity of vessel be C' J K ^-1
Heat energy given by hot water
= mass of hot water * specific heat capacity * fall in temperature.
= 40 * 4.2 * ( 60 – 30 ) = 5040J .…...(i)
Heat energy taken by cold water
= mass of cold water * specific heat capacity * rise in temperature
= 50 * 4.2 * (30 - 20 ) = 2100J ..........(ii)
Heat energy taken by vessel
= thermal capacity of vessel * rise in temperature
= C ' * ( 30 - 20 ) = 10 C ' J
If there is no loss of heat energy,
Heat energy given by hot water
= Heat energy taken by cold water + Heat energy taken by vessel.
or,
5040 = 2100 + 10 C'
or,
10 C ' = 2940
or,
C ' = 2940/10 = 294 J k^-1
Thus,
thermal capacity of vessel = 294 J K ^-1
______________________________
❤BE BRAINLY ❤
-------------------------------
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