Problema Solution
The pressure (p) of a gas varies directly with temperature (t) and inversly with the volume (v).
a) Find the constant of the variation (k) of a gas if a pressure of 121 kpa results from a volume of 45 liters of this gas at a temperature of 33" Celsius.
b) Suppose that the temperature and the volumn changes resulting in this gas now exerting a pressure of 75 kpa. If the temperature is now 25' celcius, find the volume.
Answer provided by our tutors
The pressure (p) of a gas varies directly with temperature (t) and inversly with the volume (v).
p = kt/v
t= 273 +t(celcius)
a)
k= vp/t= 121 *45 / 306= 1055/306= 4 .21
b)
p1v1/t1=p2v2/t2
121 *45 /306 = 75 v/298
v= 17.8 litres