3. 6 th grade Question
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Root mean square velocity is the square root of the mean of the squares of speeds of different molecules. From kinetic theory of gas, the formula of root mean square velocity=C= √
=√
=√
, where, R= Universal gas constant, T= Absolute temperature, P= Pressure, V= Volume of gas, d= Density of gas.
Given, T=273 K, P=1.00 x 10⁻² atm, d=1.24 x 10⁻⁵ g/cm³.
(a) Using the formula =√
=√(3X1.00X10⁻²)/(1.24X10⁻⁵)=49.18
(b) Molar mass can be determined by using the formula =√{3RT}{M}
49.18=√
49.18²=√(3X8.314X273)/M
M=
M=1.67 ≅ 2
Molecular mass is 2.
(c) The gas is Helium (He) whose molecular mass is 2.
Based on the calculations, the approximate ductility (%el) of this brass is equal to 2.3%.
<u>Given the following data:</u>
- Yield strength = 230 mpa (33360 psi).
Ductility can be defined as an important property of a material which determines its ability to become elongated due to the application of stress.
Mathematically, the ductility of a material can be expressed as percentage elongation in length:
<u>Where:</u>
is the original length.
is the final length.
is the yield strength.
For this exercise, let us assume the original length of this brass is equal to 100 meters.
Substituting the parameters into the formula, we have;
Ductility = 2.3%.
Read more on ductility here: brainly.com/question/828860