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2 litre of water at is poured into a plastic bucket containing 10 litre of water at 20 degree Celsius.What is the final temperature of water?(Density of water=1kg/litre)

User Ilya Ilin
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1 Answer

4 votes

Answer:
30^(\circ)

Step-by-step explanation:

Given


v_1=2 liter

volume of water in bucket
v_2=10 liter

density of water
\rho =1 kg/liter

thus
m_1=\rho \cdot v_1=2 kg


m_2=\rho \cdot v_2=10 kg


T_2=20^(\circ)C

suppose
T_1=80^(\circ)C

Conserving heat energy i.e. heat lost by water is gained by water in bucket


m_1cT_1+m_2cT_2=(m_1+m_2)T

where T=final Temperature


T=(m_1T_1+m_2T_2)/(m_1+m_2)


T=(160+200)/(12)


T=30^(\circ)C

User Osvald Laurits
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