The length of the mercury column in a mercury thermometer was 15mm when it was placed in melting ice, 200mm when it was placed in steam and 100mm when it was placed in a hot liquid. What is the temperature of the liquid?

Explanation

To find the temperature of the hot liquid using the lengths of the mercury column in a thermometer, we can follow these steps:

### Step 1: Identify the known values
- Length of mercury column in melting ice (0°C): \( L_0 = 15 \, \text{mm} \)
- Length of mercury column in steam (100°C): \( L_{100} = 200 \, \text{mm} \)
- Length of mercury column in the hot liquid: \( L_{\text{liquid}} = 100 \, \text{mm} \)

### Step 2: Set up the formula for temperature measurement
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