Please help me derive an equation that uses Please help me derive an equation th

Question

Please help me derive an equation that uses Please help me derive an equation that uses 1. Which answer below does not explain the decrease in size of a basketball after you take it outside on a cold day? the pressure inside the ball decreases a. b. the temperature of the gas inside the ball decreases c. the volume of the ball decreases the number of gas particles inside the ball decreases 2. that wedid notnse in deriving the From the list below, choose ideal gas law a. gas particles can be treated as objects with zero size RT the particles do not collide with each other inside the container c.the particles collide partially inelastically with the walls of the container d. the particles obey Newton's laws 3. You have a mole of oranges of mass M Imagine that you split each orange in balf. What will be the molar mass of this pile of half oranges in kilograms M/6.02x1023 c. 2M/6.02x1023 d. (M/2)/6.02x102 4. How did physicists come to know that at a constant temperature and constant mass, the pressure of an ideal gas is inversely-proportional to its volume they could have conducted an experiment maintaining the gas as described above and made a pressure-versus-volume graph they could have derived this relationship using the equations describing the ideal gas model and the relationship between the speed of the particles and the gas temperature a. b. c. , both a and b are correct 5. A gas is in a sealed container with a heavy top tha is free to move. When the gas is heated, the top moves up, causing the volume of the gas to increase. Which equation below best describes this process?

Explanation / Answer

Answer:

Let us go to the basics first.

(1)When we take out the basketball outside on a cold day, then from Ideal gas equation we have:

PV = mRT

So, both Pressure & Volume decreases as temperature decreases.

Thus, Option(d) "the number of gas particles inside the ball decreases" does not explain. Answer(1d)

(2) We know the following one assumption holds while deriving Ideal Gas equation: "All collisions are perfectly elastic and instantaneous." Option(c): "the particles collide partially inelastically with the walls of the container." we did not use in deriving the ideal gas law. Answer(2c)

(3)A mole of orange of mass M

=> 6.022*10^23 oranges = Mass M

On split in half,

2*6.022*10^23 half-oranges = Mass M

=>2Moles half-oranges = Mass M

=> 1 Mole half-oranges(Molar mass) = Mass M/2 (option a) Answer3(a)

(4) We know that according Ideal gas of equation,

PV = nRT

For constant temperature and mass,

PV = constant

Thus, pressure of ideal gas is inversely proportional to volume.

Thus, both options are valid. Option(a) is practical approach and option(b) is theoretical approach.

Answer=>4(C)"both a and b are correct.

(5) From ideal gas equation, we have:

PV = nRT

Thus, for constant pressure and same mass,

V / T = constant

=>Vi / Ti = Vf / Tf (Answer 5a)

Thanks!!!

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