Combined Gas Law Calculator, Formula, Calculation with Example

Combined Gas Law Calculator :

Enter the Initial pressure (p₁) in Pa, Initial volume (V₁) in m³, Initial temperature (T₁) in K, Final pressure (p₂) in pa, Final volume (V₂) in m³, Final temperature (T₂) in K, Internal energy change (ΔU) in J, Work (W) in J, and you get the Heat (Q) 0 in j.

Combined Gas Law Calculator

Combined Gas Law Formula :

Combined gas law formula is pressure P1(pa) in pascal is equal to the pressure p2(pa) in pascal and multiply the volume v2(m3) in meter3 and multiply the temperature T1(k) in kelvin and divided by the temperature T2(m3) in meter3 and multiply the volume v1(m3) in meter3.Hence the combined gas law formula can be written as

P1(pa)=(p2(pa)*v2(m3)* T1(k))/(T2(m3)* v1(m3))

Derivation:

Pv/T=K

K=constant

P=pressure

V=volume

T=temperature

In order to compute the changes in temperature, pressure or volume a sample gas may suffer in certain conditions, the combined gas law can be written in the form detailed within the next rows;

P1*v1/T1=p2*v2/T2

The temperature is by default expressed in Kelvin but can also be specified in Celsius or Fahrenheit,a s the calculator applies the following rules to convert it to Kelvin

0c to K=t0c+273.15

0F to k=(t0F+459.67)*5/9

Example:1

Calculate  the pressure value? In a pressure 73pa, and volume 98m3,50 m3 and temperature 55k,65k.

Answer:

P2=73pa

V2=50m3

T1=55k

T2=65k

V1=98 m3

By using formula

P1(pa)=(p2(pa)*v2(m3)* T1(k))/(T2(m3)* v1(m3))

P1=(73*50*55)/(65*98)

P1=31.5149 pa

Example:2

Calculate the pressure value? In a pressure 25pa, and volume 24m3,75 m3 and temperature 33k,26k.

Answer:

P2=25pa

V2=24m3

T1=33k

T2=26k

V1=75 m3

By using formula

P1(pa)=(p2(pa)*v2(m3)* T1(k))/(T2(m3)* v1(m3))

P1=(25*24*33)/(26*75)

P1=10.1538pa

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