Q = cmAT
33. Use the formula to show that 3000 cal are required to
raise the temperature of 300 g of water from 20°C to
30°C. For the specific heat capacity c, use 1 cal/g.°C.

The amount of heat required to raise the temperature of water from 20°C to  30°C is 3000 cal. Hence, the statement got verified.

Given data:

The mass of water is, m = 300 g.

The initial temperature of water is, .

The final temperature of water is, .

Specific heat capacity of water is, c = 1 cal/g°C.

In this question, we need to verify the end result i,e Q = 3000 cal. Where, Q is the amount of heat required to raise the temperature of water.

And its expression is,

Here, c is the specific heat of water.

Solving as,

Thus, we can conclude that the amount of heat required to raise the temperature of water from 20°C to  30°C is 3000 cal. hence, the statement got verified.

Learn more about the heat capacity here:

link

Explanation:

We are given the following formula:

  (1)

Where:

is the amount of heat

 is the mass  of water

 is the specific heat of water

 is the variation in temperature, which in this case is    

Rewriting equation (1) with the known values at the right side, we will prove the result is :

  (2)

  This is the result

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