Finding mass in a quanity of heat problem

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In summary, in order to find the mass of the copper part that was quenched with water, the formula m = Q/cΔT can be used, where Q is the heat lost, c is the specific heat capacity of copper (0.093 cal/g*C°), and ΔT is the change in temperature (370 C°). By plugging in the values given in the problem (80 kcal for Q and 370 C° for ΔT), the mass of the copper part can be calculated.
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Damien20
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Homework Statement



In a heat treatment, a hot copper part is quenched with water, cooling it from 400 degrees Celsius to 30 degrees Celsius. What was the mass of the part if it loses 80 kcal of heat.


Homework Equations



Q=mcΔT

The Attempt at a Solution



m=c ΔT/Q m=(0.093cal/g*C°)(370 C° )/ 80Kcal


I gave this a shot but I don't feel like it's right. Any help and hints or even just setting up the formula is appreciated big time. I have a feeling this one is kind of obvious I'm just not seeing it.
 
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  • #2
Damien20 said:

Homework Statement



In a heat treatment, a hot copper part is quenched with water, cooling it from 400 degrees Celsius to 30 degrees Celsius. What was the mass of the part if it loses 80 kcal of heat.


Homework Equations



Q=mcΔT

The Attempt at a Solution



m=c ΔT/Q m=(0.093cal/g*C°)(370 C° )/ 80Kcal

m = Q/cΔT
 
  • #3




Your attempt at the solution is on the right track. The formula you used, Q=mcΔT, is the correct one to use for finding mass in a quantity of heat problem. However, there are a few things to consider in order to arrive at the correct answer.

Firstly, make sure that all units are consistent. In this case, the given heat loss is in kcal, so the specific heat capacity (c) should also be in kcal/g°C.

Secondly, when using the formula Q=mcΔT, the change in temperature (ΔT) should be in Kelvin, not Celsius. So, in this case, ΔT=370K (400°C-30°C).

Finally, when rearranging the formula to solve for mass, it should be m=Q/cΔT. Plugging in the values, we get:

m= (80 kcal) / (0.093 kcal/g°C * 370 K)

m= 0.0022 g

Therefore, the mass of the copper part is 0.0022 grams.
 

What is the formula for finding mass in a quantity of heat problem?

The formula for finding mass in a quantity of heat problem is Q = mc∆T, where Q is the quantity of heat, m is the mass, c is the specific heat capacity, and ∆T is the change in temperature.

How do you find the specific heat capacity in a quantity of heat problem?

The specific heat capacity can be found by rearranging the formula to c = Q/(m∆T). This will give you the specific heat capacity in units of joules per gram per degree Celsius (J/g°C).

What are the units for mass in a quantity of heat problem?

The units for mass can vary depending on the units used for the other variables in the formula. However, common units for mass are grams (g) or kilograms (kg).

What is the difference between specific heat capacity and heat capacity?

Specific heat capacity and heat capacity both measure the amount of heat needed to raise the temperature of a substance. However, specific heat capacity is per unit mass, while heat capacity is for the entire sample of a substance. Specific heat capacity is more useful for calculations involving changing amounts of a substance, while heat capacity is more useful for fixed amounts of a substance.

Can the mass in a quantity of heat problem be negative?

No, the mass in a quantity of heat problem cannot be negative. Mass is a physical quantity that represents the amount of matter in an object, and it cannot be less than zero.

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