How many degrees will a 0.2 g water drop heat up in 1 s if ogn absorbs 10-10 photons with

How many degrees will a 0.2 g water drop heat up in 1 s if ogn absorbs 10-10 photons with a wavelength of 750 m every second?

Data: t (photon absorption time) = 1 s; m (drop weight) = 0.2 g (0.2 * 10 ^ -3 kg); n (number of photons) = 10 ^ 10 photons; λ (wavelength) = 750 nm (750 * 10 ^ -9 m).

Constants: С (specific heat capacity) = 4200 J / (kg * ºС); h (Planck’s constant) = 6.62 * 10 ^ -34 J * s; C (speed of light) = 3 * 10 ^ 8 m / s.

1) Photon energy: E = n * h * C / λ = 10 ^ 10 * 6.62 * 10 ^ -34 * 3 * 10 ^ 8 / (750 * 10 ^ -9) = 26.48 * 10 ^ – 10 J.

2) Change in droplet temperature: Δt = Q / (C * m) = 26.48 * 10 ^ -10 / (4200 * 0.2 * 10 ^ -3) = 31.52 * 10 ^ -10 K.



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