Question

How much heat is necessary to increase temperature of 4 kg water from 20 degree Celsius to 80 degree Celsius?

Answer 1

2.4 × 10⁵ cal

Step-by-step explanation:

Step 1: Given data

• Mass of water (m): 4 kg

• Initial temperature: 20°C

• Final temperature: 80°C

• Specific heat capacity of water (c): 1 cal/g.°C

Step 2: Convert the mass to grams

We will use the relationship 1 kg = 1,000 g.

`4kg * (1,000g)/(1kg) = 4,000 g`

Step 3: Calculate the change in the temperature

`\Delta T = T_f - T_i = 80 \° C - 20 \° C = 60 \° C`

Step 4: Calculate the heat required (Q)

We will use the following expression.

`Q = c * m * \Delta T = (1cal)/(g. \° C) * 4,000 g * 60 \° C = 2.4 * 10^(5) cal`