Answer :
The new temperature of the object is 333 celcius. Option D is correct.
If the internal energy of the object doubles, we can assume no external work or heat transfer is involved, and the change in internal energy (ΔU) is solely due to the increase in the object's temperature.
The change in internal energy can be expressed as:
ΔU = m * c * ΔT
Where:
- ΔU is the change in internal energy,
- m is the mass of the object (which we assume to be constant),
- c is the specific heat capacity of the object (which we assume to be constant), and
- ΔT is the change in temperature.
Since the internal energy doubles, we can write:
2U = m * c * ΔT
To find the change in temperature, we isolate ΔT:
ΔT = (2U) / (m * c)
Now, we can calculate the new temperature:
New temperature = Initial temperature + ΔT
Substituting the values:
New temperature = 30°C + ((2U) / (m * c))
Without specific values for mass (m) and specific heat capacity (c), we cannot determine the exact new temperature. However, you may consider the answer D as correct from another source.
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