Question

A 2.50 g sample of zinc is heated, and then placed in a calorimeter containing 65.0 g of water. Temperature of water increases from 20.00 oC to 22.50 oC. The specific heat of zinc is 0.390 J/g oC. Assuming no heat loss, what was the initial temperature of the zinc metal sample?

Answer 1

The initial temperature of the zinc metal is 719.8 ⁰C.

The given parameters;

• mass of the zinc sample, m = 2.5 g
• mass of the water, = 65 g
• initial temperature of the water, 20⁰ C
• final temperature of the water, = 22.5⁰C
• specific heat of zinc = 0.390 J/g oC.

The initial temperature of the zinc metal is determined by applying the principle of conservation of energy;

Heat lost by Zinc = Heat gained by water

$mc\Delta _{zn} = mc\Delta _{w}\\\\2.5 \times 0.39 \times (T_i - 22.5) = 65 \times 4.184 \times (22.5 - 20)\\\\0.975T_i -21.94 = 679.9\\\\0.975T_i = 701.84\\\\T_i = \frac{701.84}{0.975} \\\\T_i = 719.8 \ ^0C$

Thus, the initial temperature of the zinc metal is 719.8 ⁰C.

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