L is amplitude M is wavelength and P is frequency
Answer:
The answer is
<h2>2.71 g/cm³</h2>
Explanation:
The density of a substance can be found by using the formula
![density = \frac{mass}{volume} \\](https://tex.z-dn.net/?f=density%20%3D%20%20%5Cfrac%7Bmass%7D%7Bvolume%7D%20%5C%5C)
From the question
volume of marble = 1564 cm³
1 kg = 1000 g
4.24 kg = 4240 g
mass = 4240 g
The density is
![density = \frac{4240}{1564} \\ = 2.710997442...](https://tex.z-dn.net/?f=density%20%3D%20%20%5Cfrac%7B4240%7D%7B1564%7D%20%20%20%5C%5C%20%20%3D%202.710997442...)
We have the final answer as
<h3>2.71 g/cm³</h3>
Hope this helps you
Answer : The balanced chemical equation is,
![2MnO_4^-(aq)+Br^-(aq)+H_2O(l)\rightarrow 2MnO_2(s)+BrO_3^-(aq)+2OH^-(aq)](https://tex.z-dn.net/?f=2MnO_4%5E-%28aq%29%2BBr%5E-%28aq%29%2BH_2O%28l%29%5Crightarrow%202MnO_2%28s%29%2BBrO_3%5E-%28aq%29%2B2OH%5E-%28aq%29)
Explanation :
Rules for the balanced chemical equation in basic solution are :
- First we have to write into the two half-reactions.
- Now balance the main atoms in the reaction.
- Now balance the hydrogen and oxygen atoms on both the sides of the reaction.
- If the oxygen atoms are not balanced on both the sides then adding water molecules at that side where the more number of oxygen are present.
- If the hydrogen atoms are not balanced on both the sides then adding hydroxide ion
at that side where the less number of hydrogen are present. - Now balance the charge.
The half reactions in the basic solution are :
Reduction :
......(1)
Oxidation :
.......(2)
Now multiply the equation (1) by 2 and then added both equation, we get the balanced redox reaction.
The balanced chemical equation in a basic solution will be,
![2MnO_4^-(aq)+Br^-(aq)+H_2O(l)\rightarrow 2MnO_2(s)+BrO_3^-(aq)+2OH^-(aq)](https://tex.z-dn.net/?f=2MnO_4%5E-%28aq%29%2BBr%5E-%28aq%29%2BH_2O%28l%29%5Crightarrow%202MnO_2%28s%29%2BBrO_3%5E-%28aq%29%2B2OH%5E-%28aq%29)
Answer:
![\boxed {\boxed {\sf B. \ 22 \ grams}}](https://tex.z-dn.net/?f=%5Cboxed%20%7B%5Cboxed%20%7B%5Csf%20B.%20%5C%2022%20%5C%20grams%7D%7D)
Explanation:
We need to use the formula for heat of vaporization.
![Q=H_{vap}*m](https://tex.z-dn.net/?f=Q%3DH_%7Bvap%7D%2Am)
Identify the variables.
- The heat absorbed by the evaporating water is the <u>latent heat of vaporization. </u>For water, that is 2260 Joules per gram.
- Q is the energy, in this problem, 50,000 Joules.
- m is the mass, which is unknown.
![H_{vap}=2260 \ J/g\\Q=50,000 \ J \\](https://tex.z-dn.net/?f=H_%7Bvap%7D%3D2260%20%5C%20J%2Fg%5C%5CQ%3D50%2C000%20%5C%20J%20%5C%5C)
Substitute the values into the formula.
![50,000 \ J=2260 \ J/g*m](https://tex.z-dn.net/?f=50%2C000%20%5C%20J%3D2260%20%5C%20J%2Fg%2Am)
We want to find the mass. We must isolate the variable, m.
m is being multiplied by 2260 J/g. The inverse operation of multiplication is division. Divide both sides by 2260 J/g.
![\frac{50,000 \ J}{2260 \ J/g} =\frac{2260 \ J/g*m}{2260 \ J/g}](https://tex.z-dn.net/?f=%5Cfrac%7B50%2C000%20%5C%20J%7D%7B2260%20%5C%20J%2Fg%7D%20%3D%5Cfrac%7B2260%20%5C%20J%2Fg%2Am%7D%7B2260%20%5C%20J%2Fg%7D)
![\frac{50,000 \ J}{2260 \ J/g} =m](https://tex.z-dn.net/?f=%5Cfrac%7B50%2C000%20%5C%20J%7D%7B2260%20%5C%20J%2Fg%7D%20%3Dm)
Divide. Note that the Joules (J) will cancel each other out.
![\frac{50,000 \ }{2260 \ g} =m](https://tex.z-dn.net/?f=%5Cfrac%7B50%2C000%20%5C%20%7D%7B2260%20%5C%20g%7D%20%3Dm)
![22.1238938 \ g =m](https://tex.z-dn.net/?f=22.1238938%20%5C%20g%20%3Dm)
Round to the nearest whole number. The 1 in the tenth place tells us to leave the number as is.
![22 \ g \approx m](https://tex.z-dn.net/?f=22%20%5C%20g%20%5Capprox%20m)
The mass is about 22 grams, so choice B is correct.
D = m / V
D = 8.0 g / 25 cm³
D = 0.32 g/cm³
Answer A