The thermal capacity of 40 g of aluminium (specific heat `=0.2 cal//gm^(@)C`)

Options

A. `40 cal//^(@)C`
B. `160 cal//^(@)C`
C. `200cal//^(@)C`
D. `8 cal//^(@)C`

Explanation

To find the thermal capacity of 40 g of aluminium, we can use the formula for thermal capacity, which is given by:

\[ Q = m \times c \]

where:
- \( Q \) is the thermal capacity,
- \( m \) is the mass of the substance,
- \( c \) is the specific heat capacity of the substance.

### Step 1: Identify the values
From the problem, we have:
- Mass of aluminium, \( m = 40 \, \text{g} \)
- Specific heat of aluminium, \( c = 0.2 \, \text{cal/g°C} \)

### Step 2: Substitute the values into the formula
Now, we can substitute the values into the formula:

\[ Q = 40 \, \text{g} \times 0.2 \, \text{cal/g°C} \]

### Step 3: Perform the multiplication
Calculating the above expression:

\[ Q = 40 \times 0.2 = 8 \, \text{cal/°C} \]

### Step 4: State the final answer
Thus, the thermal capacity of 40 g of aluminium is:

\[ Q = 8 \, \text{cal/°C} \]

### Summary
The thermal capacity of 40 g of aluminium is 8 calories per degree Celsius.

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