An object with a mass of $24 kg$ , temperature of $150 ^oC$ , and a specific heat of $7 J/(kg*K)$ is dropped into a container with $48 L$ of water at $0^oC$ . Does the water evaporate? If not, by how much does the water's temperature change?

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Answer 1 · 2017-11-22T06:07:53

The water does not evaporate and the change in temperature is $=0.13^@C$

The heat is transferred from the hot object to the cold water.

Let $T=$ final temperature of the object and the water

For the cold water, $Delta T_w=T-0=T$

For the object $DeltaT_o=150-T$

$m_o C_o (DeltaT_o) = m_w C_w (DeltaT_w)$

The specific heat of water is $C_w=4.186kJkg^-1K^-1$

The specific heat of the object is $C_o=0.007kJkg^-1K^-1$

The mass of the object is $m_0=24kg$

The mass of the water is $m_w=48kg$

$24*0.007*(150-T)=48*4.186*T$

$150-T=(48*4.186)/(24*0.007)*T$

$150-T=1196T$

$1197T=150$

$T=150/1197=0.13^@C$

As $T<100^@C$ , the water does not evaporate

An object with a mass of 24 kg24 kg, temperature of 150 ^oC150 ^oC, and a specific heat of 7 J/(kg*K)7 J/(kg*K) is dropped into a container with 48 L 48 L of water at 0^oC 0^oC . Does the water evaporate? If not, by how much does the water's temperature change?