Physics, 24.07.2019 17:30 kendricklamar29

How many photons will be required to raise the temperature of 1.8 g of water by 2.5 k ? '?

Answers: 1

Show answers

Answers

Answer from: deaishaajennings123

Given the following data:

Mass of water = 1.8 grams

Change in temperature = 2.5 Kelvin

Wavelength of infrared = 2.9 x $10^{-4}$ cm.

Specific heat capacity of water = 4.18 J/g°K.

Conversion:

100 cm = 1 m

2.9 x $10^{-4}$ cm = 2.9 x $10^{-6}$ cm

To find the amount of photons required to raise the temperature of 1.8 g of water:

First of all, we would determine the quantity of energy required to raise the temperature of water:

Mathematically, quantity of energy is given by the formula;

$Q = mc\theta$

Where:

Q represents the quantity of energy.m represents the mass of an object.c represents the specific heat capacity.∅ represents the change in temperature.

Substituting the given parameters into the formula, we have;

Q = 1.8(4.18)(2.5)

Q = 18.81 Joules.

Mathematically, the Planck-Einstein relation is given by the formula:

E = hf

Where:

h is Planck constant.f is photon frequency.

To find the photon frequency, we would use this formula:

$Photon\;frequency = \frac{speed}{wavelength} \\\\Photon\;frequency = \frac{3(10^8)}{2.9(10^{-6})}\\\\Photon\;frequency = \frac{300000000}{0.0000029}$

Photon frequency = 1.04 × $10^{14}$ Hertz

Applying Planck-Einstein's relation, we would determine the energy required by each of photon:

E = 6.626 × $10^{-34}$ × 1.04 × $10^{14}$

E = 6.89 × $10^{-20}$ Joules

Now, we can calculate the amount of photons required to raise the temperature of 1.8 g of water by using this expression:

$Number\;of\;photons = \frac{Q}{E} \\\\Number\;of\;photons = \frac{18.81}{6.89(10^{-20})}$

Number of photons = 2.73 × $10^{20}$ photons.

Read more: link

Complete Question:

Water is exposed to infrared radiation of wavelength 2.9x10-4 cm. Assume that all the radiation is absorbed and converted to heat. How many photons will be required to raise the temperature of 1.8 g of water by 2.5 K? Express your answer using two significant figures.

Answer from: chonawilson4

Missing part in the text of the problem:
"Water is exposed to infrared radiation of wavelength 3.0×10^−6 m"

First we can calculate the amount of energy needed to raise the temperature of the water, which is given by
$Q=m C_s \Delta T$
where
m=1.8 g is the mass of the water
C_s = 4.18 J/(g K)

is the specific heat capacity of the water
$\Delta T=2.5 K$ is the increase in temperature.

Substituting the data, we find
Q=(1.8 g)(4.18 J/(gK))(2.5 K)=18.8 J=E

We know that each photon carries an energy of
E_1 = hf

where h is the Planck constant and f the frequency of the photon. Using the wavelength, we can find the photon frequency:
$\lambda = \frac{c}{f}= \frac{3 \cdot 10^8 m/s}{3 \cdot 10^{-6} m}=1 \cdot 10^{14}Hz$

So, the energy of a single photon of this frequency is
$E_1 = hf =(6.6 \cdot 10^{-34} J)(1 \cdot 10^{14} Hz)=6.6 \cdot 10^{-20} J$

and the number of photons needed is the total energy needed divided by the energy of a single photon:
$N= \frac{E}{E_1}= \frac{18.8 J}{6.6 \cdot 10^{-20} J} =2.84 \cdot 10^{20} photons$

Answer from: Quest

explanation:

areas w steep slopes, west coast, rocky mountains, and appalachian mountains

Answer from: Quest

diagram is missing, but i will try to explain your doubt.

answer:

amplitude is the maximum displacement or distance moved on a point of a vibrating body or wave measured from its equilibrium position.it is equal to half the length of vibration path.

Another question on Physics

Physics, 21.06.2019 19:40

An uplifted block of rock between two normal faults

Answers: 1

Answer

Physics, 22.06.2019 05:30

Which of the following are considered noble gases? a. bromine b. neon c. argon d. chlorine

Answers: 1

Answer

Physics, 22.06.2019 11:30

This punnett square shows the cross between two pants. one parent has round seeds (rr). and the other parent has wrinkled seeds (rr) which best describes their offspring as shown in this cross?

Answers: 1

Answer

Physics, 22.06.2019 18:30

In the united states, tornadoes generally occur because of the freezing of ocean water underwater earthquakes meeting of cool and warm air masses shifting of warm and cool ocean currents