Question

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)

Answer 1

Answer:$30^{\circ}$

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

$T=\frac{m_1T_1+m_2T_2}{m_1+m_2}$

$T=\frac{160+200}{12}$

$T=30^{\circ}C$