Question

17 the blue color in some fireworks occurs when copper (i) chloride is heated to approximately 1500 k and emits blue light of wavelength 4.50 x 10^2 nm. how much energy does one photon of this light carry? * (0.5 points) 1.35 x 10^11 j 4.42 x 10^-19 j 6.67 x 10^5 j 1.50 x 10^-2 j 2.98 x 10^3 j 2.98 x 10^-31 j 1.47 x10^-36 j 6.79 x 10^35 j

Explanation:

Step1: Convert wavelength to meters

The given wavelength $\lambda = 4.50\times10^{2}\ nm$. Since $1\ nm=10^{- 9}\ m$, then $\lambda = 4.50\times10^{2}\times10^{-9}\ m=4.50\times10^{-7}\ m$.

Step2: Use the energy - wavelength formula

The energy of a photon is given by the formula $E = h
u$, and since $
u=\frac{c}{\lambda}$, then $E=\frac{hc}{\lambda}$, where $h = 6.626\times10^{-34}\ J\cdot s$ (Planck's constant) and $c = 3.0\times10^{8}\ m/s$ (speed of light).
Substitute the values: $E=\frac{6.626\times10^{-34}\ J\cdot s\times3.0\times10^{8}\ m/s}{4.50\times10^{-7}\ m}$.
$E=\frac{19.878\times10^{-26}}{4.50\times10^{-7}}\ J$.
$E = 4.42\times10^{-19}\ J$.

Answer:

$4.42\times10^{-19}\ J$