The final temperature of copper is 155.43°C.
Step-by-step explanation:
The formula to apply is Q=m*Δt*c where ;
Q=heat energy, m=mass, c=specific heat capacity and Δt= change in temperature
Given that Q=54 calories , m=4.50 g and c=0.092 cal/g°C
In this question find Δt then ,the final temperature.
Δt=Q/m*c
Δt=54/4.50*0.092 =130.43°C
To find final temperature, apply the formula;
Δt=Final temperature - Initial temperature
130.43°C=Final temperature-25°C
130.43°C+25°C=Final temperature
155.43°C
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Specific Heat Capacity : brainly.com/question/12431744
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Answer:
The radius is increasing at a rate of approximately 0.044 in/s when the diameter is 12 inches.
Because
the radius is changing more rapidly when the diameter is 12 inches.
Step-by-step explanation:
Let
be the radius,
the diameter, and
the volume of the spherical balloon.
We know
and we want to find 
The volume of a spherical balloon is given by

Taking the derivative with respect of time of both sides gives

We now substitute the values we know and we solve for
:



The radius is increasing at a rate of approximately 0.044 in/s when the diameter is 12 inches.
When d = 16, r = 8 and
is:

The radius is increasing at a rate of approximately 0.025 in/s when the diameter is 16 inches.
Because
the radius is changing more rapidly when the diameter is 12 inches.