QuestionHow much will the temperature of a 15.4 g silver sample increase if 40.5 J of heat is added? (Specific heat: 0.235 J/g°C)
Studdy Solution
STEP 1
Assumptions1. The amount of heat added to the silver is40.5 J. The mass of the silver sample is15.4 g3. The specific heat of silver is0.235 J/g°C4. The heat added to the silver will cause a uniform temperature increase, with no heat lost to the surroundings
STEP 2
We can use the formula for heat transfer to find the temperature increase. The formula iswhere- is the heat added, - is the mass of the substance, - is the specific heat of the substance, and- is the change in temperature.
STEP 3
We want to find , so we rearrange the formula to solve for
STEP 4
Now, plug in the given values for the heat added (), the mass of the silver (), and the specific heat of silver () to calculate the temperature increase ().
STEP 5
Calculate the temperature increase.
The temperature of the silver will increase by approximately11.1°C.
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