180.189 g was the mass of the zinc sample with a specific heat of zinc is 0.390 j/g°C.
The specific heat capacity is defined as the quantity of heat (J) absorbed per unit mass (kg) of the material when its temperature increases 1 K (or 1 °C), and its units are J/(kg K) or J/(kg °C).
Using specific heat capacity formula here:
[tex]C_{Zn}[/tex] × [tex]m_{Zn}[/tex]× Δ[tex]T_{Zn}[/tex] = [tex]C_{H_2O}[/tex]× [tex]m_{H_2O}[/tex] × Δ[tex]T_{H_2O}[/tex]
0.390J/g°C × [tex]m_{Zn}[/tex] ×77.4ºC = 4.184J/g°C× 65.0g × 20.00ºC.
[tex]m_{Zn}[/tex] = 180.189 g
Hence, 180.189 g was the mass of the zinc sample.
Learn more about the specific heat capacity here:
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