The pressure of an ideal gas kept at constant volume is given by the equation P=

Question

The pressure of an ideal gas kept at constant volume is given by the equation P=AT where T is the thermodynamic temperature and A is a constant. let a temperature T*=Bln|CT| where B and C are constants. The pressure P is 0.1 atm at the triple point of water. The temperature T* is 0 at the triple point and T* is 100 at the steam point.

a) Find the values of A, B and C

b)Find the value of T* when P=0.15 atm.

c) Find the value of P when T* = 50

d) What is the value of T* at absolute zero?

e) Sketch a graph of T* versus the celsius temperature t for -200Celsius<t<200Celsius

Explanation / Answer

The pressure of an ideal gas kept at constant volume is given by the equation -

P = A T

where, A = constant term

P = pressure at triple point of water = 0.1 atm

T = thermodynamic temperature = 273.15 K

Then, we get

A = P / T = (0.1 atm) / (273.15 K)

A = 0.000366 atm K-1

A = 3.66 x 10-4 atm K-1

The value of C is given by,   C = A / P = (3.66 x 10-4 atm K-1) / (0.1 atm)

C = 36.6 x 10-4 K-1

C = 3.66 x 10-3 K-1

(d) The value of T* at absolute zero will be tends to - infinity.

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