A cubical block of mass `1.0kg` and edge `5.0cm` is heated to `227^(@)C` . It is kept in an evacuated chamber maintained at `27^(@)C` . Assming that the block emits radiation like a blackbody, find the rate at which the temperature of the block will decreases. Specific heat capacity of the material of the block is `400Jkg^(-1)K^(-1)` .

Explanation

To solve the problem, we will follow these steps:

### Step 1: Understand the problem
We have a cubical block of mass \( m = 1.0 \, \text{kg} \) and edge length \( 5.0 \, \text{cm} \) that is heated to \( 227^\circ C \) and placed in an evacuated chamber at \( 27^\circ C \). We need to find the rate at which the temperature of the block decreases, assuming it emits radiation like a black body.

### Step 2: Convert temperatures to Kelvin
To use the Stefan-Boltzmann law, we need to convert the temperatures from Celsius to Kelvin:
- \( T = 227^\circ C = 227 + 273 = 500 \, K \)
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