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atroni [7]
4 years ago
14

The gram formula mass of a compound is 48 grams. The mass of 1.0 moles of this compound is

Physics
2 answers:
djyliett [7]4 years ago
8 0
Gram formula mass means the <span> mass of one moles of  the  compound
so </span> The mass of 1.0 moles of this compound is <span>48g</span>
<span>so i conclude option 3  is correct
hope it helps</span>
Vesna [10]4 years ago
3 0

Answer:

The mass of 1.0 moles of this compound is (3) 48g.

Explanation:

  • The gram formula mass is defined as the amount of mass in 1.0 moles of a compound.

<u>For example :</u>

  • For the water, we can calculate its gram formula mass using the molecular formula of the water : H_{2}O

  • To calculate the gram formula mass we need the molecular mass of H (hydrogen) and O (oxygen).

μ(H) = 1\frac{g}{mole}

μ(O) = 16\frac{g}{mole}⇒ <u>The gram formula mass of water is:</u>

2 [ μ(H) ] + μ(O) = 2(1\frac{g}{mole})+16\frac{g}{mole}=18\frac{g}{mole}

<u>So 1 mole of water contains 18 grams of water.</u>

In the exercise, the gram formula mass of a compound is 48 grams. Therefore, 1 mole of the compound contains 48 g of compound.

Finally, the correct option is (3) 48g

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A 12,500 N alien UFO is hovering about the surface of Earth. At time , its position can be given as () = ((0.24 m/s^3)^3 + 25 m)
stepladder [879]

a) F=(3675i-4543k)N

b) 5843 N

Explanation:

a)

The position of the UFO at time t is given by the vector:

r(t)=(0.24t^3+25)i+(4.2t)j+(-0.43t^3+0.8t^2)k

Therefore it has 3 components:

r_x=0.24t^3+25\\r_y=4.2t\\r_z=-0.43t^3+0.8t^2

We start by finding the velocity of the UFO, which is given by the derivative of the position:

v_x=r'_x=\frac{d}{dt}(0.24t^3+25)=3\cdot 0.24t^2=0.72t^2\\v_y=r'_y=\frac{d}{dt}(4.2t)=4.2\\v_x=r'_z=\frac{d}{dt}(-0.43t^3+0.8t^2)=-1.29t^2+1.6t

And then, by differentiating again, we find the acceleration:

a_x=v'_x=\frac{d}{dt}(0.72t^2)=1.44t\\a_y=v'_y=\frac{d}{dt}(4.2)=0\\a_z=v'_z=\frac{d}{dt}(-1.29t^2+1.6t)=-2.58t+1.6

The weight of the UFO is W = 12,500 N, so its mass is:

m=\frac{W}{g}=\frac{12500}{9.8}=1276 kg

Therefore, the components of the force on the UFO are given by Newton's second law:

F=ma

So, Substituting t = 2 s, we find:

F_x=ma_x=(1276)(1.44t)=(1276)(1.44)(2)=3675 N\\F_y=ma_y=0\\F_z=ma_z=(1276)(-2.58t+1.6)=(1276)(-2.58(2)+1.6)=-4543 N

So the net force on the UFO at t = 2 s is

F=(3675i-4543k)N

b)

The magnitude of a 3-dimensional vector is given by

|v|=\sqrt{v_x^2+v_y^2+v_z^2}

where

v_x,v_y,v_z are the three components of the vector

In this problem, the three components of the net force are:

F_x=3675 N\\F_y=0\\F_z=-4543 N

Therefore, substituting into the equation, we find the magnitude of the net force:

|F|=\sqrt{3675^2+0^2+(-4543)^2}=5843 N

7 0
3 years ago
If a professional football player and a toddler were both running at you, which would be easier to stop? Why? Use the terms forc
igor_vitrenko [27]

Answer:

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Explanation:

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3 years ago
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34000×0.4<br> ----------------<br> 0.02×200<br> In scientific notation
VashaNatasha [74]

Answer:

the simplified expression is written as 3.4 x 10³

Explanation:

Given expression;

\frac{34000\times 0.4}{0.02 \times 200}

in scientific notation, the expression is simplified as;

\frac{34000\times 0.4}{0.02 \times 200}  = \frac{13600}{4} = 3400 = 3.4 \times 10^3

Therefore, in scientific notation, the simplified expression is written as 3.4 x 10³

4 0
3 years ago
What happens when an electron moving from the 3rd energy level to the 1st energy level?
Sholpan [36]

Answer:

A photon of wavelength 103 nm is released

Explanation:

When an electron in an atom jumps from a higher energy level to a lower energy level, it releases a photon whose energy is equal to the difference in energy between the two levels.

For example, if we are talking about a hydrogen atom, the energy of the levels are:

E_1 = -13.6 eV\\E_2 = -3.4 eV\\E_3 = -1.5 eV

So, the energy of the photon released when the electron jumps from the level n=3 to n=1 is

\Delta E = E_3 - E_1 = -1.5 -(-13.6)=12.1 eV

In Joules,

\Delta E =12.1\cdot 1.6\cdot 10^{-19} = 1.94\cdot 10^{-18} J

We can also find the wavelength of this photon, using the equation:

\Delta E = \frac{hc}{\lambda}\rightarrow  \lambda=\frac{hc}{\Delta E}=\frac{(6.63\cdot 10^{-34})(3\cdot 10^8)}{1.94\cdot 10^{-18}}=1.03\cdot 10^{-7} m = 103 nm

7 0
4 years ago
The density of Mercury is 1.36 × 10 by 4 Kgm - 3 at 0 degrees. Calculate its value at 100 degrees and at 22 degrees. Take cubic
Drupady [299]

a) Density at 100 degrees: 1.34\cdot 10^4 kg/m^3

Explanation:

The density of mercury at 0 degrees is d=1.36\cdot 10^4 kg/m^3

Let's take 1 kg of mercury. Its volume at 0 degrees is

V=\frac{m}{d}=\frac{1 kg}{1.36\cdot 10^4 kg/m^3}=7.35\cdot 10^{-5} m^3

The formula to calculate the volumetric expansion of the mercury is:

\Delta V= \alpha V \Delta T

where

\alpha=180\cdot 10^{-6} K^{-1} is the cubic expansivity of mercury

V is the initial volume

\Delta T is the increase in temperature

In this part of the problem, \Delta T=100 C-0 C=100 C=100 K

So, the expansion is

\Delta V= \alpha V \Delta T=(180\cdot 10^{-6} K^{-1})(7.35\cdot 10^{-5} m^3)(100 K)=1.3\cdot 10^{-6} m^3

So, the new density is

d'=\frac{m}{V+\Delta V}=\frac{1 kg}{7.35\cdot 10^{-5} m^3+1.3\cdot 10^{-6} m^3}=1.34\cdot 10^4 kg/m^3


b) Density at 22 degrees: 1.355\cdot 10^4 kg/m^3

We can apply the same formula we used before, the only difference here is that the increase in temperature is

\Delta T=22 C-0 C=22 C=22 K

And the volumetric expansion is

\Delta V= \alpha V \Delta T=(180\cdot 10^{-6} K^{-1})(7.35\cdot 10^{-5} m^3)(22 K)=2.9\cdot 10^{-7} m^3

So, the new density is

d'=\frac{m}{V+\Delta V}=\frac{1 kg}{7.35\cdot 10^{-5} m^3+2.9\cdot 10^{-7} m^3}=1.355\cdot 10^4 kg/m^3


8 0
3 years ago
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