Biology: 101. DuAn insulated Cup contains 75.0 g of waterat 24.00 C. A 26.00 Sample of metal at82.25oC is added. The finas temperture of thewater and metal is 28.34 C. What is thespecific heat of the metal?

101. DuAn insulated Cup contains 75.0 g of waterat

Ответ:

Clayton2847

21.01.2022

$0.972 J/g^{\circ}C$

Explanation:

When the sample of hot metal is placed inside the water, the metal gives off heat to the water: the temperature of the metal decreases while the temperature of the water increases, until the two reach an equilibrium temperature.

The heat given off by the metal is equal (in magnitude) to the heat absorbed by the water, so we can write:

$Q_m=Q_w\\m_m C_m (T_m-T_e) = m_w C_w (T_e-T_w)$

where:

m_m=26.0 g is the mass of the metal

C_m is the specific heat of the metal

$T_m=82.25^{\circ}C$ is the initial temperature of the metal

$T_e=28.34^{\circ}C$ is the equilibrium temperature

m_w=75.0 g is the mass of the water

$C_w=4.186 J/g^{\circ}C$ is the specific heat of water

$T_w=24.00^{\circ}C$ is the initial temperature of the water

And solving for C_m , we find the specific heat of the metal:

$C_m=\frac{m_w C_w (T_e-T_w)}{m_m(T_m-T_e)}=\frac{(75.0)(4.186)(28.34-24.00)}{(26.0)(82.25-28.34)}=0.972 J/g^{\circ}C$

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101. Du
An insulated Cup contains 75.0 g of water
at 24.00 C. A 26.00 Sample of metal at
82.
25oC is added. The finas temperture of the
water and metal is 28.
34 C. What is the
specific heat of the metal?

Ответ:

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