A given mass of gas has a volume of at
. Calculate its volume at i.
, ii.
, iii.
, the pressure being constant.
Extracted from M. Nelkon. (1971). Graded Exercises and Worked Examples in Physics.
Solution.
Converting cubic centimetres to cubic metres:
.
Converting degree Celsius to Kelvin:
.
Background. (ideal gas equation)
By ideal gas law , where
,
, and
are the pressure, volume, and temperature;
is the amount of substance; and
is the ideal gas constant.
Wikipedia on Ideal gas law
Arranging for change of subject,
.
Then plugging in and
, one obtains
Thus we have volume as a function
of temperature
:
.
We are asked about its volume as the temperature varies:
(to be continued)
