Final answer:
To find the number of photons required for the liquid to absorb heat, use the equation Number of photons = Energy of heat / Energy per photon.
Step-by-step explanation:
To determine the number of photons required for the liquid to absorb a certain amount of heat, we need to use the formula:
Number of photons = Energy of heat / Energy per photon
Given that the wavelength of the infrared radiation is 7.96 × 10-4 cm and all the radiation is absorbed, we can find the energy per photon using the equation: Energy per photon = hc / λ, where h is Planck's constant (6.626 × 10-34 J·s) and c is the speed of light (3.00 × 108 m/s).
Once we have the energy per photon, we can substitute it in the first equation along with the given energy of heat (39.01 J) to find the number of photons required.