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)
7.4 x 2 x (-196 - 25) = -32

Is it correct?
Thank you

the value in parentheses is -221 ... how do you get -32 for a result?

Could you help me Mr Scott

Would be -3

14.8 x -221= -3

Yes, your calculation seems to be correct for calculating the amount of heat given off when the marshmallow cools from room temperature to its liquid nitrogen bath. The formula you used, Q = mass x specific heat x (Tfinal - Tinitial), is the correct formula for calculating heat transfer, where Q is the amount of heat transferred, mass is the mass of the object, specific heat is the specific heat capacity of the substance, Tfinal is the final temperature, and Tinitial is the initial temperature.

In your case, the mass of the marshmallow is given as 7.4g, the specific heat of the marshmallow is given as 2 J/g, the initial temperature is 25°C, and the final temperature is -196°C (assuming the marshmallow completely cools to the temperature of the liquid nitrogen bath). Plugging these values into the formula, you correctly calculated that the amount of heat given off is -32 Joules. The negative sign indicates that heat is lost or released from the marshmallow.

It's important to note that the specific heat capacity provided (2 J/g) is an assumed value, and the actual specific heat capacity of a marshmallow may vary. Nonetheless, in this hypothetical scenario, your calculation appears to be correct.