Answer:
P₂ = 2.19 atm
Explanation:
Given data:
Initial volume = 1.5 L
Initial pressure =1 atm
Initial temperature = 273K
Final temperature = 26°C (26+273 = 299 K)
Final volume = 0.75 L
Final pressure = ?
Formula:
P₁V₁/T₁ = P₂V₂/T₂
P₁ = Initial pressure
V₁ = Initial volume
T₁ = Initial temperature
P₂ = Final pressure
V₂ = Final volume
T₂ = Final temperature
Solution:
P₂ = P₁V₁ T₂/ T₁ V₂
P₂ = 1 atm × 1.5 L × 299 K / 273 K × 0.75 L
P₂ = 448.5 atm .L. K / 204.75 K.L
P₂ = 2.19 atm
b. because the warmer air allows the particles to be free from gravitational forces
c. because the heat liberates the potential energy inside each molecule eliminate
d. because the warmer air is less dense and particles can move more
Answer: Option (a) is the correct answer.
Explanation:
When temperature of surrounding atmosphere around the tire increases then it will lead to increase in the kinetic energy of molecules.
Due to increase in kinetic energy of molecules there will be more number of collisions between the air molecules that are present inside the bicycle tire.
Hence, it means heat has been transferred from the surrounding atmosphere to the molecules inside the tire.
Thus, we can conclude that the air molecules inside a bicycle tire speed up as the temperature gets warmer because the heat is transferred to the molecules and gives them more kinetic energy.
c. Fluorite
b. Topaz
d. Gypsum
Gypsum
The hardness of minerals or substances is measured qualitatively using Mohs Scale. In this scale the hardness is measured qualitatively by characterizing the resistance shown by one substance when rubbed against second substance. Therefore, greater points are given to those substances which are capable of making scratches on other substances. The Mohs Scale of given compounds is as follow,
Diamond 10
Fluorite 4
Topaz 8
Gypsum 1.5 to 2
While the hardness value of Fingernail is 2 to 2.5. Hence, this value is close to Mohs scale hardness value of Gypsum therefore, gypsum is the correct answer.
The total pressure of the gaseous mixture is 1.57 atm.
The mixture of the gases consists of 3 diatomic molecules, 6 monoatomic molecules, and 5 other monoatomic molecules.
The total number of molecules in the mixture are:
The total pressure of a gas by Raoult's law is given as:
The partial pressure of the diatomic gas is 0.330 atm.
The mole fraction of the diatomic gas is given as:
The mole fraction of the diatomic gas is 0.2.
The total pressure of the gas is given as:
The total pressure of the gaseous mixture is 1.57 atm.
Learn more about the pressure of the gas, here:
Explanation:
The given data is as follows.
Number of particles of diatomic gas = 3
Number of particles of monoatomic gas = 6
Number of particles of another monoatomic gas = 5
Therefore, total number of particles or moles present will be as follows.
3 + 6 + 5 = 14
As we know that, mole fraction =
Hence, more fraction of the diatomic gas will be as follows.
mole fraction =
=
= 0.21
Now, formula to calculate partial pressure will be as follows.
Partial pressure of one species = molar fraction of that species x total pressure
Therefore,
= 1.57 atm
Thus, we can conclude that total pressure is 1.57 atm.