If the final temperature is T degrees F, what are the values of Qlost and Qgained?trying_mybest said:Homework Statement:: A 5-gallon container of water (1 gal = 3.79 liter) at 212 degrees F is added to 50 gallons of water at 50 degrees F. What is the final equilibrium temperature in degrees C?
Relevant Equations:: Qlost = Qgained
Not really sure how to start this one.
And you'd like someone to guess where you are going wrong?trying_mybest said:I keep getting 0 for the final temp when it's supposed to be 18 C
Yes, but it will be simpler to do one conversion at the end than two at the start.trying_mybest said:Final temp should be ˚C.
That equation looks fine but what do you put for ##\Delta T_1## and ##\Delta T_2##?trying_mybest said:Final temp should be ˚C.
I used m1C∆T1 = m2C∆T2
I keep getting 0 for the final temp when it's supposed to be 18 C
Delta2 said:Well, i think the mistake lies right at the start.
$$m_1C(T_f-T_1)=m_2C(T_f-T_2)$$ is not correct, the correct is $$-m_1C(T_f-T_1)=m_2C(T_f-T_2)$$ because one body is losing heat (so the heat will be negative) and the other is gaining heat (so the heat will be positive).
The equilibrium temperature of two fluids is the temperature at which the two fluids, when combined, reach a stable and balanced temperature. This means that the rate of heat transfer between the two fluids is equal, resulting in no further change in temperature.
The equilibrium temperature of two fluids can be calculated using the formula: Teq = (m1 x c1 x T1 + m2 x c2 x T2) / (m1 x c1 + m2 x c2), where Teq is the equilibrium temperature, m is the mass of the fluid, c is the specific heat capacity, and T is the initial temperature of each fluid.
The factors that affect the equilibrium temperature of two fluids include the initial temperatures of the two fluids, their masses, and their specific heat capacities. Other factors such as the rate of heat transfer and the presence of external heat sources can also impact the equilibrium temperature.
The equilibrium temperature of two fluids is directly related to heat transfer. When the two fluids are at different initial temperatures, heat will transfer from the hotter fluid to the cooler fluid until they reach equilibrium. The rate of heat transfer will decrease as the two fluids approach equilibrium.
Yes, the equilibrium temperature of two fluids can change if there is a change in any of the factors that affect it, such as the initial temperatures, masses, or specific heat capacities of the fluids. It can also change if there is a change in the rate of heat transfer or the presence of external heat sources.