Formulas for combined effect of pressure and temperatures on a spherical shell
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For a fixed amount of gas, Boyle's Law and Charles' Lawcan be combined into one equation which is known as the combined gas equation:
PV
T= k (a constant)OR
P1V1
T1 = P2V2
T2
where
P1 = initial pressure
V1 = initial volume
T1 = initial temperature (K)
and
P2 = final pressure
V2 = final volume
T2 = final temperature (K)
Note that:
(i) Pressure can be in any units BUT the units for P1 and P2MUST be the same.
For example, both are in kPa or both in atm.
(ii) Volume can be in any units BUT the units for V1 and V2MUST be the same.
For example, both in mL or both in L
(iii) Temperature MUST be in Kelvin (NOT celsius, NOT fahrenheit)
A gas that obeys the combined gas equation (that is one that obeys Boyle's Law and Charles' Law) is known as an Ideal Gas.
PV
T= k (a constant)OR
P1V1
T1 = P2V2
T2
where
P1 = initial pressure
V1 = initial volume
T1 = initial temperature (K)
and
P2 = final pressure
V2 = final volume
T2 = final temperature (K)
Note that:
(i) Pressure can be in any units BUT the units for P1 and P2MUST be the same.
For example, both are in kPa or both in atm.
(ii) Volume can be in any units BUT the units for V1 and V2MUST be the same.
For example, both in mL or both in L
(iii) Temperature MUST be in Kelvin (NOT celsius, NOT fahrenheit)
A gas that obeys the combined gas equation (that is one that obeys Boyle's Law and Charles' Law) is known as an Ideal Gas.
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