The density of Silver is 10.5 g/mL. How much mass would be present given a silver cube

An inverted pyramid is being filled with water at a constant rate of 45 cubic centimeters per second. The pyramid, at the top, h

vaieri [72.5K]

Answer:

13.20 cm/s is the rate at which the water level is rising when the water level is 4 cm.

Explanation:

Length of the base = l

Width of the base = w

Height of the pyramid = h

Volume of the pyramid = $V=\frac{1}{3}lwh$

We have:

Rate at which water is filled in cube = $\frac{dV}{dt}= 45 cm^3/s$

Square based pyramid:

l = 6 cm, w = 6 cm, h = 13 cm

Volume of the square based pyramid = V

$V=\frac{1}{3}\times l^2\times h$

$\frac{l}{h}=\frac{6}{13}$

$l=\frac{6h}{13}$

$V=\frac{1}{3}\times (\frac{6h}{13})^2\times h$

$V=\frac{12}{169}h^3$

Differentiating V with respect to dt:

$\frac{dV}{dt}=\frac{d(\frac{12}{169}h^3)}{dt}$

$\frac{dV}{dt}=3\times \frac{12}{169}h^2\times \frac{dh}{dt}$

$45 cm^3/s=3\times \frac{12}{169}h^2\times \frac{dh}{dt}$

$\frac{dh}{dt}=\frac{45 cm^3/s\times 169}{3\times 12\times h^2}$

Putting, h = 4 cm

$\frac{dh}{dt}=\frac{45 cm^3/s\times 169}{3\times 12\times (4 cm)^2}$

$=13.20 cm/s$

13.20 cm/s is the rate at which the water level is rising when the water level is 4 cm.

3 0

3 years ago

Hich of these correctly defines the pOH of a solution?

kramer

The log of the hydronium ion concentration

8 0

2 years ago

Read 2 more answers

PLEASE HELP ASAP TAKING A TEST!

pav-90 [236]

Answer:

As a substance changes from a solid to a liquid to a gas, its molecules first the molecules are moving fast enough, they are able to "escape." They leave the surface of the liquid as gas molecules. Evaporation is not the only process that can change a substance from a liquid to a gas. The same change can occur through boiling.

Explanation:

6 0

3 years ago

How does elements and compounds reacting together is essential in everyday matters?

MrMuchimi

Chemical reactions are at the essence of just about every biological and physical process in the whole universe. Stars form due to chemical reactions, our sun flamed up also because of chemical reactions in its core. Life basically evolved on Earth as an outcome of chemical reactions. The "circle of life" is, at its quintessence, a sequence of chemical reactions. Also our capacity to move and think is an outcome of chemical reactions that happen inside our bodies. Chemical reactions are the reason why new forms of matter are created. Chemical reactions make us comprehend the properties of matter. Chemical reactions make food into fuel for our bodies, they make fireworks blow up, they change food when it is cooked, they make soap remove dirt, and a lot more. Chemical reactions contribute to solving crimes and unravel mysteries. We can even find out which planets and moons are most likely to be able to preserve life. The most significant and momentous discovery made by humans, fire, is just a chemical reaction. Nothing would ever change without chemical reactions

3 0

2 years ago

A 15.0 L rigid container was charged with 0.5 atm of Krypton gas and 1.5 atm of chlorine gas at 350 C. The krypton and chlorine

Angelina_Jolie [31]

The mass of krypton tetrachloride that can be produced assuming 100% yield is mathematically given as

molar mass=33.29g

<h3>What mass of krypton tetrachloride can be produced assuming 100% yield?</h3>

Generally, the equation for ideal gas is mathematically given as

PV=nRT

Therefore

n=(0.50)(15.)/0.082*623

n=0.147mol

Hence for clorine

n=0.441mol

Given the reaction

Kr+2cl2---->KrCL4

Hence

molar mass=225.60*0.147

molar mass=33.29g