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A frequência de vibração dos átomos dos sólidos, a temperaturas normais, é da ordem de 10¹³ Hz. Imagine que os átomos estejam conectados uns aos ou...

A frequência de vibração dos átomos dos sólidos, a temperaturas normais, é da ordem de 10¹³ Hz. Imagine que os átomos estejam conectados uns aos outros por molas. Suponha que um único átomo de prata em um sólido vibre com esta frequência e que todos os demais átomos estejam em repouso. Calcule a constante de mola efetiva. Um mol de prata tem massa 108 g e contém 6,02 x 10²³ átomos.
A 900 N/m
B 708 N/m
C 505 N/m
D 790 N/m
a) 900 N/m
b) 708 N/m
c) 505 N/m
d) 790 N/m

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Apol 1 - Fisica - termodinamica e ondas
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Física Termodinânica e Ondas Centro Universitário Internacional UninterCentro Universitário Internacional Uninter

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Para calcular a constante de mola efetiva, podemos usar a fórmula da frequência de vibração de um oscilador harmônico simples, que é dada por: \[ f = \frac{1}{2\pi} \sqrt{\frac{k}{m}} \] Onde: - \( f = 10^{13} \) Hz - \( m = \frac{108}{6.02 \times 10^{23}} \) kg (massa de um átomo de prata) - Queremos encontrar \( k \) (constante de mola efetiva) Substituindo os valores conhecidos na fórmula da frequência e resolvendo para \( k \), temos: \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{k}{\frac{108}{6.02 \times 10^{23}}}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{k \times 6.02 \times 10^{23}}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k}{108}} \] \[ 10^{13} = \frac{1}{2\pi} \sqrt{\frac{6.02 \times 10^{23} \times k

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