All categories

3 years ago

Boltzmann’s constant is 1.38066 × 10−23 J/K, and the universal gas constant is 8.31451 J/K · mol.

Physics

1 answer:

djyliett [7]3 years ago

4 0

Answer:

$4.95\cdot 10^{-21} J$

Explanation:

First of all, let's convert everything into SI units:

n = 2.4 mol (number of gas moles)

$p=11 atm = 1.11\cdot 10^6 Pa$ (gas pressure)

$V=4.3 L=4.3\cdot 10^{-3} m^3$ (gas volume)

R = 8.31451 J/K · mol (gas constant)

The ideal gas equation states that

$pV=nRT$

Solving for T, we find the gas temperature

$T=\frac{pV}{nR}=\frac{(1.11\cdot 10^6)(4.3\cdot 10^{-3})}{(2.4)(8.31451)}=239.2 K$

And now we can find the average kinetic energy of the gas:

$E_K = \frac{3}{2}kT$

where

k = 1.38066 × 10−23 J/K is the Boltzmann's constant

Substituting,

$E_K = \frac{3}{2}(1.38066\cdot 10^{-23} J/K)(239.2 K)=4.95\cdot 10^{-21} J$

You might be interested in

What does activation energy has to do with a chemical reaction.

asambeis [7]

Explanation:

Activation energy and reaction rate

The activation energy of a chemical reaction is closely related to its rate. Specifically, the higher the activation energy, the slower the chemical reaction will be. ... The released energy helps other fuel molecules get over the energy barrier as well, leading to a chain reaction.

6 0

3 years ago

ayo 20 m long is heated from a temperature of 5 degree celsius to 55 degree celsius if the change in length is 0.020 m calculate

Lera25 [3.4K]

Answer:2 x 10^-5K^-1

Explanation:

The solution is in the attached file

6 0

3 years ago

vehicles equipped with disc brakes incorporate a mechanically operated drum-style parking brake in the center of the rear disc b

umka21 [38]

Vehicles equipped with disc brakes incorporate a mechanically operated drum-style parking brake in the center of the rear disc brake rotors, commonly called a top hat parking brake.

<h3>What is top hat parking brake?</h3>

The top hat drum style of parking brake system is called the top hat rotors because of how big the middle part is compared to regular rotors.

In this type of parking brake system, the vehicle is equipped with disc brakes which incorporate a mechanically operated drum-style parking brake in the center of the rear disc brake rotors.

Thus, vehicles equipped with disc brakes incorporate a mechanically operated drum-style parking brake in the center of the rear disc brake rotors, commonly called a top hat parking brake.

Learn more about top hat parking brake here: brainly.com/question/21854030

4 0

2 years ago

A 3.0 pF capacitor consists of two parallel plates that have surface charge densities of 1.0 nC/mm2 . If the potential between t

Archy [21]

Answer:

$A=81mm^2$

Explanation:

We know that for a capacitor $Q=CV$ , where <em>Q </em>is the charge of one plate, <em>C</em> the capacitance and <em>V</em> the potential between the plates.

We also know that $Q=\sigma A$ , since $\sigma$ is the surface charge density and <em>A</em> the area of the plate (both equal in our case).

Putting all together:

$A=\frac{CV}{\sigma}$

Which for our values is:

$A=\frac{(3\times10^{-12}F)(27\times10^3V)}{1\times10^{-9}C/mm^2}=81mm^2$

Where we notice that the S.I. units combination FV/C must not have units (we can verify it directly from their definitions or we notice that $mm^2$ is enough to describe an area).

8 0

3 years ago

A jar of tea is placed in sunlight until it

Tanzania [10]

Answer:

m = 4.44 [g]

Explanation:

This is a problem related to heat transfer and thermodynamics. The second law of thermodynamics tells us that heat goes in only one direction, from the highest temperature substance to the lowest temperature. In this case the heat goes from tea to ice. The heat transfer process could be defined as the heat rejection of one body will be equal to the Heat received by another body.

$Q_{out}=Q_{in}\\Q_{out}=m*cp*(T_{f}-T_{i})$

Where:

m = mass = 177[g] = 0.177[kg]

Cp = specific heat = 4186 [J/kg*C]

T_f = 29.1 [°C]

Ti = 31.1 [°C]

Q = 0.177*4186*(29.1 - 31.1)

Q = - 1481.8 [J]

Note: The negative sign means that the heat is rejected.

Recall that the heat rejected is equal to the heat transferred

As the ice is going through a phase change, the fusion latent heat should be used, i.e. when it passes from solid to liquid. The heat transfer for this process is calculated with the following expression.

Qin = m *hf

m = mass of the ice [kg]

hf = Fusion latent heat = 333700 [J/kg]

1481.8 = m * 333700

m = 0.00444 [kg] = 4.44 [g]

7 0

3 years ago