2. Answer the follo to keep the PV/nT ratio constant. (a) If a gas in a sealed j

Question

2. Answer the follo to keep the PV/nT ratio constant. (a) If a gas in a sealed jar (V constant) is wing questions by identifying how quantities in the Ideal Gas Law change large is the chang o iheated and the Kelvin tempernature doubles,how the Kelvin in temperature doubles, how (b) If a gas in a jar with a leaky seal (P and V constant) is heated and the Kelvin temperature quadruples, what fraction of the gas escapes? (c) If the vapor in a cylinder in your automobile engine (T constant) is compressed to 1/10 the volume by the piston, how large is the change in pressure? 3. At what temperature is no pressure exerted by an ideal gas? 4. What is a situation illustrating that it is nonsense to use Centigrade temperature in the Ideal Gas Law?

Explanation / Answer

2)

a) Ideal gas law is

PV = nRT

P = nRT/V

n, R and V constsnt

P = kT

when T doubles

P= 2kT

So , pressure is doubled

b) PV = nRT

n = PV/RT

P,V and R is constant

n= k/T

when T is quadrables

n = k/4T

so, when Kelvin temperature is quadrables, n is reduced to 1/4th

Therefore,

   75% of gas will escape

   0.75 fraction of gas will eacape

c) P = nRT/V

   if T held constant

   P = k/V

   when V is reduced 1/10

   P= k/((1/10)V)

   = 10k/V

So, pressure is increased to 10 fold

3) PV = nRT

   T = PV/nR

   when P = 0

   T = 0/nR = 0K

So , at 0K no pressure will be exerted by an Ideal gas

4)

If Ideal gas law is used at 0 , it is nonsense

PV = nRT

if T = 0

PV =0

but PV is not zero at 0

  

  

  

  

  

  

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