If the starting temp is -50c the mass of copper is 25g and the infared view is 23.9c

Question

Identify the expected cold temperature when it is removed from the cold water using this equation Q=mc🔺T

Answer 1

To find the expected cold temperature when the copper is removed from the cold water, we can use the equation Q = mcΔT

where:

Q represents the heat gained or lost by the object (copper in this case),

m is the mass of the object (25 g),

c is the specific heat capacity of the material (copper),

ΔT is the change in temperature.

Since the copper is being removed from cold water, it will lose heat, so Q will be negative.

To calculate the change in temperature, we can rearrange the equation as follows:

ΔT = Q / (mc)

To determine Q, we need to calculate the heat gained or lost by the copper. The initial temperature of the copper is -50°C, and the infrared view is 23.9°C, so the change in temperature is:

ΔT = 23.9°C - (-50°C) = 23.9°C + 50°C = 73.9°C

Now, we can substitute the values into the equation to find the expected cold temperature when the copper is removed from the cold water:

ΔT = Q / (mc)

73.9°C = Q / (25 g * c)

To calculate the expected cold temperature, we need the specific heat capacity (c) of copper. The specific heat capacity of copper is approximately 0.39 J/g°C.

Substituting the values into the equation:

73.9°C = Q / (25 g * 0.39 J/g°C)

Now, to find Q, we can rearrange the equation as:

Q = 73.9°C * (25 g * 0.39 J/g°C)

Q ≈ 723.975 J

Substituting the value of Q back into the equation:

723.975 J = (cold temperature - 23.9°C) * (25 g * 0.39 J/g°C)

Simplifying the equation:

723.975 J = (cold temperature - 23.9°C) * 9.75 J

Q = 73.9°C * (25 g * 0.39 J/g°C)

Q ≈ 723.975 J

Substituting the value of Q back into the equation:

723.975 J = (cold temperature - 23.9°C) * (25 g * 0.39 J/g°C)

Simplifying the equation:

723.975 J = (cold temperature - 23.9°C) * 9.75 J

ANSWER IS

Therefore, the expected cold temperature when the copper is removed from the cold water is approximately 98.209°C.