Specific heat of aluminum is `0.25 cal//g^(0)c`. The water equivalent of an aluminum vessel of mass one kilogram is

Options

A. `40 cal//^(0)C`
B. `250 g`
C. `250 cal//^(0) C`
D. `40 g`

Explanation

To find the water equivalent of an aluminum vessel with a mass of 1 kilogram, we can follow these steps:

### Step 1: Understand the Concept of Water Equivalent
The water equivalent of a substance is defined as the mass of water that would absorb the same amount of heat as the substance for a given temperature change. It can be calculated using the formula:
\[ \text{Water Equivalent} = \text{Mass of the substance} \times \text{Specific heat of the substance} \]

### Step 2: Identify Given Values
- Mass of aluminum vessel, \( m = 1 \, \text{kg} = 1000 \, \text{g} \)
- Specific heat of aluminum, \( c = 0.25 \, \text{cal/g}^\circ C \)

### Step 3: Calculate the Water Equivalent
Using the formula for water equivalent:
\[ \text{Water Equivalent} = m \times c \]
Substituting the values:
\[ \text{Water Equivalent} = 1000 \, \text{g} \times 0.25 \, \text{cal/g}^\circ C \]
\[ \text{Water Equivalent} = 250 \, \text{g} \]

### Step 4: Conclusion
The water equivalent of the aluminum vessel of mass 1 kilogram is \( 250 \, \text{g} \).

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