The solution is:A mole of gas occupies 22.4 L A liter is 1000 cubic centimeters because 1 cubic centimeter = 1 mL
One Helium molecule (essentially one helium atom) has atomic mass 4 g/mol So for every 22400 cubic centimeters of volume, we have 4 grams of helium Density of helium = 4g / 22400 cm^3 = 1g / 5600 cm^3
Volume of a sphere = (4/3)(pi)r^3 Volume of the outside sphere (the entire sphere) is (4/3)(pi)(R+T)^3 Volume of the inside sphere (the hollow region) is (4/3)(pi)R^3
The difference for the volume of silver. (4/3)(pi)(R+T)^3 - (4/3)(pi)R^3 = (4/3)(pi)(3R^2T + 3RT^2 + T^3)
The density of silver is 10.5g/cm^3
So the mass of the silver is computed by:10.5*(4/3)(pi)(3R^2T + 3RT^2 + T^3) = (14*pi)(3R^2T + 3RT^2 + T^3) = (14pi)T(3R^2 + 3RT + T^2)
Now for the mass of helium: volume x density = (4/3)(pi)R^3 (1/5600) = (pi/4200)R^3
Set the two masses equal: (pi/4200)R^3 = (14pi)T(3R^2 + 3RT + T^2) R^3 = 58800*T(3R^2 + 3RT + T^2) R / T = 58800*(3R^2 + 3RT + T^2) / R^2 = 58800*( 3+T/R^2+(T/R)^2)
then solve for xx = T / R 1/x = 58800*( 3+x/R+x^2) 1/58800 = x (3 + x/R + x^2) 1/58800 = 3x + x^3 x^3 + 3x - 1/58800= 0 x = ~ 5.66893x10^(-6)
2 meters equal 2000 milimeters
Answer:
Q = -5/8 * 2/3
Multiply both numbers like your multiplying actual numbers.
<em><u>(-5 * 2)/(8*3)</u></em>
<h2><em><u>
</u></em></h2><h2><em><u>
A = -10/24 = -5/12</u></em></h2><h2><em><u>
Hope this helps</u></em></h2>
7 lb will cover an area of 1 square foot, while 315 lb will cover an area of 45 square feet.
From given question,
252 lb = 36 ft² ..........(1)
The number of pound for an area of 1 square foot is calculated as follows:
x = 1 ft² .......(2)
The area and the amount of gravel are illustrations of proportions.
From (1) and (2) we get an equation,
⇒ x × 36 = 252 × 1
⇒ x = 252/36
⇒ x = 7 lb
We need to find the area that could be covered with 315 lb of gravel
The area to be covered with 315 lb gravel is calculated as follows:
315 lb = y ............(3)
From (1) and (3) we get an equation,
⇒ y × 252 = 36 × 315
⇒ y = 45 ft²
Therefore, 7 lb will cover an area of 1 square foot, while 315 lb will cover an area of 45 square feet.
Learn more about the proportions here:
brainly.com/question/13114933
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Answer:
Triangles QUT and SVR are congruent because the defining two sides and an included angle of triangles QUT and SVR are equal
Step-by-step explanation:
Here we have QT = SR and
QV = SU
Therefore,
QT = √(UT² + QU²)........(1)
RS = √(VS² + RV²)..........(2)
Since QS = QU + SU = QV + VS ∴ QU = VS
Therefore, since SR = QT and QU = VS, then from (1) and (2), we have UT = RV
Hence since we know all sides of the triangles QUT and SVR are equal and we know that the angle in between two congruent sides of the the triangles QUT and SVR that is the angle in between sides QU and UT for triangle QUT and the angle in between the sides RV and VS in triangle SVR are both equal to 90°, therefore triangles QUT and SVR are congruent.
