Will Two Thermometers in Water at 50 Celsius Have the Same Temperature?

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SUMMARY

When two thermometers, one mercury in glass and the other alcohol, are placed in water at 50 degrees Celsius, they will reach thermal equilibrium at the same temperature, provided there is no heat loss. Although the specific heat capacities of mercury and alcohol differ, the key principle is that once both thermometers stabilize in the water, they will display the same temperature reading. The time taken to reach this equilibrium may vary, but the final temperature will be identical.

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I was wondering; if a water is say at a temperature of 50 Celsius and we put two thermometers into it, one which is a mercury in glass and the other which is of alcohol (same mass of both constituents); when we break the thermometers directly after the readings are stabled and we measure what the temperature of the mercury and the alcohol is; is it the same? (If there is no heat loss or unreliability) I am not sure because heat is given by Q=mct and since Q is constant as said no heat loss as it is transferred into the thermometers and mass of both alcohol and mercury is same; but the specific heat capacity of the two are different so I think that the t will also differ even though kept in the same 50 degrees water (i.e. same heat energy). But is it correct? Just confirming.
 
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If they both reached equilibrium with the water, they will have the same temperature.
It may take different times to reach the equilibrium but once at thermal equilibrium, they must have the same temperature (by definition).

The heat transferred to each thermometer does not have to be the same.
 

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