Heat and Mass Proportionality: Examining the Accuracy

AI Thread Summary
The discussion centers on the relationship between the mass of a liquid and the time required to convert it to gas under constant heat supply. It asserts that the time is directly proportional to the mass, given that the heat supplied remains constant. The equation presented, t = m^2(l + cθ), raises questions about the meaning of the variables involved, specifically m (mass), c (specific heat capacity), θ (temperature change), and l (latent heat of vaporization). Clarification is sought on how these variables interact and their implications for the boiling process. Overall, the accuracy of the proportionality and the equation's structure is under scrutiny.
latyph
Messages
8
Reaction score
0
I NOTICED THAT THE TIME REQUIRED FOR A GIVEN MASS OF A LIQUID IS PROPORTIONAL DIRECTLY TO THE MASS OF THE LIQUID PROVIDED THE HEAT SUPPLY IS CONSTANT,WHICH MAKES t PROPORTIONAL TO m,the heat is constant.now heat is mctheta +ml.which makes t =m^2(l+ctheta).how true is this,is there a fault i this let me know
 
Physics news on Phys.org
given mass of liquid to change to gas to be precised,i made a mistake typin
 
Okay, every liquid has a "heat of boiling" that is the amount of heat required to change 1 gram of the liquid, already at the boiling point into gas. In order to boil x grams of liquid, you must supply a specific number of calories of heat. If you are providing the heat at a constant rate, then the time required to convert all of the liquid to gas is proportional to the mass.

However, having said "THE HEAT SUPPLY IS CONSTANT", you then say "now heat is mctheta +ml". I don't understand that. What are the variables? m, c, theta, l?
or is that ctheta[/b]? I would guess that m is the mass, but what are c and theta (or ctheta[/b]) and is l a separate constant or is ml one amount? Please tell us what your symbols mean.
 
m mass of liquid,c specific heat capacity,theta change in temp.l latent heat of vaporization
 
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Thread 'Variable mass system : water sprayed into a moving container'
Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
Back
Top