How can I draw a graph using a balloon diameter vs. temperature. What is the correlation?this is lab course in biology
The question asked may be included in your lab course in biology but relates to the Ideal Gas Law in chemistry. This law provides a very close approximation to how gases behave under different temperatures and pressures.
The ideal gas law relates the volume (V) occupied by n moles of a gas under a pressure P and at a temperature T.
P*V = n*R*T where R is a constant approximately equal to 8.314 J/K*mole
Rearranging the terms of the equation: V = n*R*T/P
In a balloon the gas is under a constant pressure exerted by the atmosphere, the amount of substance that makes up the gas also remains the same. This makes the volume proportional to the temperature or V = K*T
It is being assumed that the balloon is spherical in shape. The volume of a sphere with diameter d is (4/3)*pi*(d/2)^3.
The graph of the balloon's diameter is a curve where the diameter is directly related to the cube root of the temperature.