Chemistry, 28.12.2019 18:31 stophendless9780

Acontainer with 0.317 l of water is placed into microwave and is then radiated with electromagnetic energy that has a wavelength of 13.3 cm. the temperature of the water then rose by 74.3 °c. calculate the number of photons that were absorbed by the water. assume water has a density of 1.00 g·ml–1 and its specific heat is 4.184 j·g–1·°c–1

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Answer from: dbenitezmontoya3

The number of photons absorbed by the water is $6.59\times 10^{28}$

Explanation:

To calculate the energy of 1 photon, we use the equation:

$E=\frac{hc}{\lambda}$

where,

E = energy of the photon

h = Planck's constant = $6.626\times 10^{-34}Js$

c = speed of light = $3.0\times 10^8m/s$

$\lambda$ = wavelength of photon = 13.3 cm = 0.133 m (Conversion factor: 1 m = 100 cm )

Putting values in above equation, we get:

$E=\frac{6.626\times 10^{-34}Js\times 3.0\times 10^8m/s}{0.133m}\\\\E=1.495\times 10^{-24}J$

To calculate the mass of water, we use the equation:

$\text{Density of substance}=\frac{\text{Mass of substance}}{\text{Volume of substance}}$

Density of water = 1 g/mL

Volume of water = 0.317 L = 317 mL (Conversion factor: 1 L = 1000 mL )

Putting values in above equation, we get:

$1g/mL=\frac{\text{Mass of water}}{317mL}\\\\\text{Mass of water}=(1g/mL\times 317mL)=317g$

To calculate the amount of energy absorbed, we use the equation:

$q=mc\Delta T$

where,

q = heat absorbed

m = mass of water = 317 g

c = specific heat capacity of water = 4.184 J/g°C

$\Delta T$ = change in temperature = 74.3°C

Putting values in above equation, we get:

$q=317g\times 4.184J/g^oC\times 74.3^oC=98546.2J$

To calculate the number of photons, we divide the amount of energy absorbed by the energy of 1 photon, which is:

$\text{Number of photons}=\frac{\text{Total amount of energy absorbed}}{\text{Energy of 1 photon}}$

Putting values in above equation, we get:

$\text{Number of photons}=\frac{98546.2J}{1.495\times 10^{-24}J}=6.59\times 10^{28}$

Hence, the number of photons absorbed by the water is $6.59\times 10^{28}$

Answer from: Quest

- calcium has greater affinity to bond with electron receptors than hydrogen does and hence, it has the ability to replace hydrogen in most of its compounds.

- lithium has 2 valence electrons in the product because it can make only 1 bond with hydrogen. beryllium has 4 valence electrons in the product because it can only make 2 bonds. it has fewer electrons than neon and can react with electron donors. each hydrogen has 2 valence electrons, the same as helium.

- the covalent bond formed between carbon and hydrogen is polar because carbon is more electronegative than hydrogen and it attracts the bonded electron pair closer to itself, thus giving hydrogen a partial positive charge.

- a hydrogen bond is a relatively weak bond that hydrogen atoms make with the electronegative atoms nitrogen, oxygen or fluorine.

so the best choice is a.) 2 calcium (ca) atoms

Answer from: Quest

i'm pretty sure it is letter c.) car

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