If the specific heat of a marshmallow is 2 J/g, how much heat is given off when it cools from room temp (25C) to its liquid nitrogen bath. Weight of the marshmallow 7.4g
q = mass marshmallow x specific heat x (Tfinal-Tinitial).
You have the mass and specific heat and Ti. You will need to supply Tf; I wonder why you have it in an liquid N2 bath to begin with.
To calculate the heat given off when the marshmallow cools from room temperature to its liquid nitrogen bath, we can use the formula:
Q = m * c * ΔT
Where:
Q is the heat energy
m is the mass of the marshmallow
c is the specific heat capacity
ΔT is the change in temperature
Given:
Weight of the marshmallow = 7.4g
Specific heat capacity of marshmallow = 2 J/g
Initial temperature = 25°C
Final temperature = liquid nitrogen temperature (which is approximately -196°C)
First, we need to calculate the change in temperature:
ΔT = Final temperature - Initial temperature
ΔT = (-196°C) - (25°C)
ΔT = -221°C
Now, we can calculate the heat energy:
Q = m * c * ΔT
Q = 7.4g * 2 J/g * (-221°C)
Q = -3251.6 J
Therefore, the marshmallow gives off approximately 3251.6 J of heat when cooling from room temperature to its liquid nitrogen bath.
To calculate the amount of heat given off when a marshmallow cools from room temperature to its liquid nitrogen bath, we need to use the formula:
Q = m * c * ΔT
Where:
Q is the amount of heat given off (in joules),
m is the mass of the marshmallow (in grams),
c is the specific heat of the marshmallow (in J/g°C), and
ΔT is the change in temperature (in °C).
In this case, the mass of the marshmallow is given as 7.4g, and the specific heat is given as 2 J/g.
First, we need to calculate the change in temperature (ΔT) from room temperature to the liquid nitrogen bath. Liquid nitrogen has a temperature of approximately -196°C, so the change in temperature is:
ΔT = final temperature - initial temperature
ΔT = -196°C - 25°C
ΔT = -221°C
Now we have all the required values to calculate the amount of heat given off (Q):
Q = (7.4g) * (2 J/g°C) * (-221°C)
Calculating this expression will give us the amount of heat given off when the marshmallow cools from room temperature to its liquid nitrogen bath.